A. Corbo Esposito, L. Faella, V. Mottola, G. Piscitelli, R. Prakash, A. Tamburrino:
The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems
(preprint) 2023

A. Corbo Esposito, L. Faella, V. Mottola, G. Piscitelli, R. Prakash, A. Tamburrino:
The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems
(preprint) 2023

A. Corbo Esposito, L. Faella, V. Mottola, G. Piscitelli, R. Prakash, A. Tamburrino:
The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems
(preprint) 2023

A. Corbo Esposito, L. Faella, V. Mottola, G. Piscitelli, R. Prakash, A. Tamburrino:
The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems
(preprint) 2023

A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
The p-Laplace "Signature" for Quasilinear Inverse Problems with Large
  Boundary Data
(preprint) 2023

A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
The p-Laplace "Signature" for Quasilinear Inverse Problems with Large
  Boundary Data
(preprint) 2023

A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
The p-Laplace "Signature" for Quasilinear Inverse Problems with Large
  Boundary Data
(preprint) 2023

A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
The p-Laplace "Signature" for Quasilinear Inverse Problems with Large
  Boundary Data
(preprint) 2023

A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
The p-Laplace "Signature" for Quasilinear Inverse Problems with Large
  Boundary Data
(preprint) 2023

A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
The p-Laplace "Signature" for Quasilinear Inverse Problems with Large
  Boundary Data
(preprint) 2023

A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
The p_0-Laplace "Signature" for Quasilinear Inverse Problems
(preprint) 2023

T. V. ANOOP, K. ASHOK KUMAR:
Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality
Advances in Differential Equations Vol. 28, N. 7-8, p. 537-568, 2023

K. ASHOK KUMAR, N. Biswas:
Strict Faber-Krahn type inequality for the mixed local-nonlocal operator  under polarization
(preprint) 2023

L. Abatangelo, R. Ognibene:
Sharp behavior of Dirichlet-Laplacian eigenvalues for a class of  singularly perturbed problems
(preprint) 2023

E. Acerbi:
Stable periodic configurations in nonlocal sharp interface models
Riv. Mat. Univ. Parma (N.S.) Vol. 14, p. 191--204, 2023

C. Afeltra:
A compactness result for the CR Yamabe problem in three dimensions
(Preprint) 2023

C. Afeltra:
Rectifiability of sets of solutions of first order systems of partial differential equations
(Preprint) 2023

V. Agostiniani, C. Mantegazza, L. Mazzieri, F. Oronzio:
A new proof of the Riemannian Penrose inequality
Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl. (Accepted Paper) 2023

M. Akman, S. Mukherjee:
On the Minkowski problem for p-harmonic measures
(preprint) 2023

G. Alberti, D. Bate, A. Marchese:
On the closability of differential operators
(Preprint) 2023

R. Alicandro, N. Ansini, A. Braides, A. Piatnitski, A. Tribuzio:
A Variational Theory of Convolution-type Functionals
SpringerBriefs on PDEs and Data Science (Book) p. 121, 2023

R. Alicandro, A. Braides, M. Cicalese, M. Solci:
Discrete Variational Problems with Interfaces
Cambridge University Press (Book) 2023

R. Alicandro, A. Braides, M. Solci, G. Stefani:
Topological singularities arising from fractional-gradient energies
(Submitted Paper) 2023

R. Alicandro, M. Cicalese, L. De Luca:
Screw dislocations in periodic media: variational coarse graining of the  discrete elastic energy
Nonlinear Analysis Vol. 231, 2023

R. Alicandro, L. De Luca, G. Lazzaroni, M. Palombaro, M. Ponsiglione:
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
J. Nonlinear Sci. Vol. 33, N. 2, 2023

R. Alicandro, L. De Luca, M. Palombaro, M. Ponsiglione:
$\Gamma$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
(Preprint) 2023

S. Almi, M. Caponi, M. Friedrich, F. Solombrino:
Geometric rigidity on Sobolev spaces with variable exponent and applications
(Preprint) 2023

S. Almi, C. D'Eramo, M. Morandotti, F. Solombrino:
Mean-field limits for entropic multi-population dynamical systems
Milan Journal of Mathematics p. 38, 2023

S. Almi, M. Morandotti, F. Solombrino:
Optimal control problems in transport dynamics with additive noise
Journal of Differential Equations Vol. 373, p. 1-47, 2023

S. Almi, D. Reggiani, F. Solombrino:
Brittle membranes in finite elasticity
Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) Vol. 103, N. 11, p. 29, 2023

S. Almi, D. Reggiani, F. Solombrino:
Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity
(Preprint) 2023

S. Almi, E. Tasso:
A general criterion for jump set slicing and applications
(Submitted Paper) 2023

S. Almi, E. Tasso:
Generalized bounded deformation in non-Euclidean settings
(Preprint) 2023

N. Almousa, J. Assettini, M. Gallo, M. Squassina:
Concavity properties for quasilinear equations and optimality remarks
Differential Integral Equations (Accepted Paper) 2023

N. Almousa, C. Bucur, R. Cornale, M. Squassina:
Concavity principles for nonautonomous elliptic equations and applications
Asymptotic Analysis (Accepted Paper) p. 15, 2023

D. M. Ambrose, A. R. Mészáros:
Well-posedness of mean field games master equations involving non-separable local Hamiltonians
Trans. Amer. Math. Soc. 2023

L. Ambrosio, C. Brena, S. Conti:
Functions with bounded Hessian-Schatten variation: density, variational
  and extremality properties
(preprint) 2023

V. Ambrosio, F. Essebei:
A Bourgain-Brezis-Mironescu type result for the fractional relativistic seminorm
(Submitted Paper) 2023

V. Ambrosio, F. Essebei:
Multiple solutions for double phase problems in $\mathbb{R}^n$ via Ricceri's principle
Journal of Mathematical Analysis and Applications 2023

F. Anceschi, M. Piccinini:
Boundedness estimates for nonlinear nonlocal kinetic  Kolmogorov-Fokker-Planck equations
(Preprint) 2023

J. H. Andrade, Joăo Marcos do Ň, J. Ratzkin, J. Wei:
Compactness of singular solutions to the sixth order GJMS equation
(preprint) 2023

G. Andreucci , M. Focardi:
The classical obstacle problem with H\"older continuous coefficients
Nonlinear Anal. Vol. 226, 2023

I. Anello, A. Braides, F. Caragiulo:
A note on the homogenization of incommensurate thin films
Math. Meth. Appl. Sci. Vol. 46, p. 15655-15666, 2023

G. Antonelli, F. Glaudo:
Nonexistence of isoperimetric sets in spaces of positive curvature
(preprint) 2023

G. Antonelli, E. Le Donne, A. Merlo:
Carnot rectifiability and Alberti representations
(Preprint) 2023

G. Antonelli, E. Pasqualetto, M. Pozzetta, D. Semola:
Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
Mathematische Annalen 2023

G. Antonelli, E. Pasqualetto, M. Pozzetta, I. Y. Violo:
Topological regularity of isoperimetric sets in PI spaces having a  deformation property
Proc. R. Soc. Edinb., Sect. A, Math. 2023

G. Antonelli, M. Pozzetta:
Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature
(Preprint) 2023

N. Apollonio, D. De Canditiis, G. Franzina, P. Stolfi, G. L. Torrisi:
Normal approximation of random Gaussian neural networks
(Preprint) 2023

G. Ascione, D. Castorina, G. Catino, C. Mantegazza:
A matrix Harnack inequality for semilinear heat equations
Math. Engineering Vol. 5, N. 1, p. Paper n.003, 15 pp., 2023

G. Ascione, D. Castorina, F. Solombrino:
Mean field sparse optimal control of systems with additive white noise
Siam Journal on Mathematical Analysis Vol. 55, N. 6, p. 6965-6990, 2023

J. F. Babadjian, G. A. Francfort:
Uniqueness and characteristic flow for a non strictly convex singular variational problem
(Preprint) 2023

J. F. Babadjian, F. Iurlano:
Piecewise rank-one approximation of vector fields with measure derivatives
(Preprint) 2023

A. Bach, M. Ruf:
Stochastic homogenization of functionals defined on finite partitions
(preprint) 2023

F. Bagagiolo, R. Capuani, L. Marzufero:
A single player and a mass of agents: a pursuit-evasion like game
(Preprint) 2023

F. Bagagiolo, L. Marzufero:
A time-dependent switching mean-field game on networks motivated by  optimal visiting problems
Journal of Dynamics and Games Vol. 10, N. 2, p. 151-180, 2023

S. Baldo, V. P. C. Le, A. Massaccesi, G. Orlandi:
Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks
Mathematics in Engineering Vol. 5, 2023

P. Ballard, F. Iurlano:
Optimal existence results for the 2d elastic contact problem with Coulomb friction
(Preprint) 2023

M. Bansil, A. R. Mészáros, C. Mou:
Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations
(Preprint) 2023

R. Barbato, F. Della Pietra, G. Piscitelli:
On the first Robin eigenvalue of the Finsler $p$-Laplace operator as
  $p\to 1$
(preprint) 2023

M. Barchiesi, D. Henao, C. Mora-Corral, R. Rodiac:
A relaxation approach to the minimisation of the neo-Hookean energy in 3D
(Submitted Paper) 2023

M. Barchiesi, D. Henao, C. Mora-Corral, R. Rodiac:
Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity
Arch. Ration. Mech. Anal. Vol. 247, N. 4, 2023

M. Bardi, A. Goffi:
Liouville results for fully nonlinear equations modeled on Hörmander  vector fields: II. Carnot groups and Grushin geometries
Advances in Differential Equations Vol. 28, N. 7-8, p. 637-684, 2023

M. Bardi, H. Kouhkouh:
An Eikonal equation with vanishing Lagrangian arising in Global  Optimization
Appl. Math. Optim. Vol. 87, N. 49, 2023

D. Barilari, T. Bossio:
Steiner and tube formulae in 3D contact sub-Riemannian geometry
Communication in Contemporary Mathematics (Accepted Paper) 2023

D. Bartolucci, P. Cosentino, A. Jevnikar, C. S. Lin:
On the first eigenvalue of Liouville-type problems
(Preprint) p. 14, 2023

D. Bartolucci, Y. Hu, A. Jevnikar, W. Yang:
Generic properties of the Rabinowitz continuum
Adv. Nonlinear Stud. (Accepted Paper) 2023

D. Bartolucci, A. Jevnikar, J. Jin, C. S. Lin, S. Liu:
Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains
J. Math. Anal. Appl. (Accepted Paper) p. 17, 2023

D. Bartolucci, A. Jevnikar, R. Wu:
A Courant nodal domain theorem for linearized mean field type equations
Commun. Pure Appl. Anal. (Accepted Paper) p. 18, 2023

D. Bartolucci, A. Jevnikar, R. Wu:
On the global bifurcation diagram of the equation $-\Delta u=\mu|x|^{2\alpha}e^u$ in dimension two
Differential and Integral Equations (Accepted Paper) p. 15, 2023

M. Bayrami-Aminlouee, M. Fotouhi:
Global minimizers of the two-phase Bernoulli problem with the
  $p$-Laplace operator
(preprint) 2023

M. Bayrami-Aminlouee, M. Fotouhi:
Regularity in the two-phase Bernoulli problem for the $p$-Laplace
  operator
(preprint) 2023

N. Bazarra, D. Bosco, M. Colturato, B. Donato, C. Dongiovanni, J. R. Fernandez, G. Gilioli, A. Maiorano, O. Mosbach-Schulz, M. G. Naso, J. A. Navas Cortés, M. Saponari, A. Simonetto:
An eco-epidemiological model supporting rational disease management of Xylella fastidiosa. An application to the outbreak in Apulia (Italy)
Ecological Modelling Vol. 476, N. 110226, p. 10, 2023

D. Bazzana, M. Colturato, R. Savona:
Learning about unprecedented events: Agent-based modelling and the stock market impact of COVID-19
Finance Research Letters 2023

L. Beck, E. Cinti, C. Seis:
Optimal regularity of isoperimetric sets  with H\"older densities
(Submitted Paper) 2023

P. Bella, R. Marziani:
$\Gamma$-convergence for plane to wrinkles transition problem
(Preprint) p. 47, 2023

G. Bellettini, S. Carano, R. Scala:
Relaxed area of graphs of piecewise Lipschitz maps  in the strict $BV$-convergence
Nonlinear Analysis (Accepted Paper) p. 46, 2023

G. Bellettini, M. Freguglia, N. Picenni:
On a conjecture of De Giorgi about the phase-field approximation of the  Willmore functional
Arch. Rational Mech. Anal. Vol. 247, 2023

G. Bellettini, S. Kholmatov:
Some aspects of anisotropic curvature flow of planar partitions
(Preprint) 2023

G. Bellettini, R. Scala, G. Scianna:
Upper bounds for the relaxed area of $S^1$-valued Sobolev maps and its countably subadditive interior envelope
(Preprint) 2023

L. Benatti, M. Fogagnolo:
Isoperimetric sets in nonnegative scalar curvature and their role
  through various concepts of mass
(preprint) 2023

L. Benatti, M. Fogagnolo, L. Mazzieri:
Nonlinear isocapacitary concepts of mass in nonnegative scalar curvature
SIGMA Vol. 19, N. 091, p. 29 pages, 2023

C. Bernardini, A. Cesaroni:
Boundary value problems for Choquard equations
(preprint) 2023

C. Bernardini, A. Cesaroni:
Ergodic Mean-Field Games with aggregation of Choquard-type
Journal of Differential Equations Vol. 364, p. 296-335, 2023

K. Bessas, M. Novaga, F. Onoue:
On the shape of small liquid drops minimizing nonlocal energies
ESAIM Control Optim. Calc. Var. Vol. 29, N. Paper n. 86, p. 26, 2023

G. Bevilacqua, A. Giorgini:
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring
  in Soft Matter Physics
(preprint) 2023

G. Bevilacqua, C. Lonati:
Effects of surface tension and elasticity on critical points of the  Kirchhoff-Plateau problem
Bollettino dell Unione Matematica Italiana 2023

G. Bevilacqua, L. Lussardi, A. Marzocchi:
Geometric invariants of non-smooth framed curves
INdAM Springer Series (Accepted Paper) 2023

G. Bevilacqua, B. Perthame, M. Schmidtchen:
The Aronson-Bénilan Estimate in Lebesgue Spaces
Annales de lInstitut Henri Poincare - Analyse non lineaire 2023

M. Bhakta, K. Perera, F. Sk:
A system of equations involving the fractional $p$-Laplacian and doubly  critical nonlinearities
Advanced Nonlinear Studies (Accepted Paper) 2023

S. Biagi, M. Bramanti, B. Stroffolini:
KFP operators with coefficients measurable in time and Dini continuous  in space
Journal of Evolution equations (Accepted Paper) 2023

F. Bianchi, L. Brasco:
An optimal lower bound in fractional spectral geometry for planar sets with topological constraints
J. London Math. Soc. (Accepted Paper) 2023

F. Bianchi, L. Brasco, R. Ognibene:
On the spectrum of sets made of cores and tubes
J. Convex Anal. (Accepted Paper) p. 42, 2023

F. Bianchi, L. Brasco, A. C. Zagati:
On the sharp Hardy inequality in Sobolev-Slobodeckii spaces
Math. Ann. (Accepted Paper) p. 47, 2023

S. Bianchini, A. Bressan, M. T. Chiri:
Optimal Solutions for a Class of Set-Valued Evolution Problems
(Preprint) 2023

N. Biswas, F. Sk:
On generalized eigenvalue problems of fractional $(p,q)$-Laplace  operator with two parameters
Proc. Roy. Soc. Edinburgh Sec. A: Math (Accepted Paper) p. 34, 2023

B. Bogosel, D. Bucur, I. Fragalŕ:
The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and
  Riesz inequalities
(preprint) 2023

B. Bogosel, G. Buttazzo, E. Oudet:
On the numerical approximation of Blaschke-Santaló diagrams using Centroidal Voronoi Tessellations
(Preprint) 2023

M. Bonacini, F. Iurlano:
Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies
(Preprint) 2023

G. Bonfanti, E. Davoli, R. Rossi:
A coupled rate-dependent/rate-independent system for adhesive contact in  Kirchhoff-Love plates
(Submitted Paper) 2023

E. Bonhomme:
Perfect plasticity versus damage: an unstable interaction between
  irreversibility and $$-convergence through variational evolutions
(preprint) 2023

S. Borghini, M. Fogagnolo, A. Pinamonti:
The equality case in the substatic Heintze-Karcher inequality
(Preprint) 2023

W. Borrelli, N. Kerraoui, T. Ourmieres-Bonafos:
Spectral asymptotics for two-dimensional Dirac operators in thin waveguides
Quantum Mathematics I - Springer Indam Series 2023

W. Borrelli, A. Maalaoui, V. Martino:
Conformal Dirac-Einstein equations on manifolds with boundary
Calc. Var. PDE 2023

W. Borrelli, R. Wu:
On the nodal set of solutions to Dirac equations
(Submitted Paper) p. 34, 2023

S. Borza, W. Klingenberg:
Regularity and Continuity Properties of the Sub-Riemannian Exponential Map
Journal of Dynamical and Control Systems 2023

S. Borza, K. Tashiro:
Measure contraction property, curvature exponent and geodesic dimension  of sub-Finsler Heisenberg groups
(preprint) 2023

D. Bourne, M. Pearce, S. Roper:
Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport
Mechanics Research Communications Vol. 127, p. 104023, 2023

A. Braides:
A simplified counterexample to the integral representation of the relaxation of double integrals
Comptes Rendus - Série Mathématique (Accepted Paper) 2023

A. Braides, G. C. Brusca:
Asymptotic behaviour of the capacity in two-dimensional heterogeneous media
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Vol. 34, p. 383-399, 2023

A. Braides, G. C. Brusca, D. Donati:
Another look at elliptic homogenization
Milan J. Math (Accepted Paper) 2023

A. Braides, M. Caroccia:
Asymptotic behavior of the Dirichlet energy on Poisson point clouds
J. Nonlinear Sci. Vol. 33, N. 80, 2023

A. Braides, A. Causin, M. Solci:
Discrete approximation of nonlocal-gradient energies
Adv. Calc. Var. 2023

A. Braides, A. Causin, M. Solci, L. Truskinovsky:
Beyond the classical Cauchy-Born rule
Archive for Rational Mechanics and Analysis Vol. 247, N. 107, 2023

A. Braides, A. Chambolle:
Ising systems, measures on the sphere, and zonoids
Tunisian J. Math. (Accepted Paper) 2023

A. Braides, L. D'Elia:
Homogenization of discrete thin structures
Nonlinear Analysis Vol. 231, p. 112951, 2023

A. Braides, G. Dal Maso:
Compactness for a class of integral functionals with interacting local and non-local terms
Calc. Var. Partial Differential Equations Vol. 62, N. 148, 2023

A. Braides, G. Dal Maso:
Continuity of some non-local functionals with respect to a convergence of the underlying measures
J. Math. Pures Appl. Vol. 170, p. 136--149, 2023

L. Brasco, F. Prinari, F. Sk:
On Morrey's inequality in Sobolev-Slobodeckij spaces
(Preprint) p. 52, 2023

L. Brasco, F. Prinari, A. C. Zagati:
Sobolev embeddings and distance functions
Adv. Calc. Var. (Accepted Paper) p. 43, 2023

K. Bredies, M. Carioni, S. Fanzon, D. Walter:
Asymptotic linear convergence of Fully-Corrective Generalized Conditional Gradient methods
Mathematical Programming 2023

K. Bredies, M. Carioni, M. Holler, Y. Korolev, C. B. Schönlieb:
A sparse optimization approach to infinite infimal convolution
  regularization
(preprint) 2023

K. Bredies, J. A. Iglesias, G. Mercier:
Boundedness and unboundedness in total variation regularization
Applied Mathematics & Optimization 2023

C. Brena, N. Gigli:
About the general chain rule for functions of bounded variation
(preprint) 2023

C. Brena, N. Gigli:
Fine representation of Hessian of convex functions and Ricci tensor on
  RCD spaces
(preprint) 2023

C. Brena, F. Nobili, E. Pasqualetto:
Maps of bounded variation from PI spaces to metric spaces
Ann. Sc. Norm. Super. Pisa Cl. Sci. 2023

C. Brena, A. Pinamonti:
Nguyen's approach to Sobolev spaces in metric measure spaces with unique
  tangents
(preprint) 2023

M. Bresciani:
Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions
Calculus of Variations and Partial Differential Equations Vol. 62, N. 7, p. Article no. 181, 2023

M. Bresciani, E. Davoli, M. Kruzik:
Existence results in large-strain magnetoelasticity
Annales de l'Institut Henri Poincaré / Analyse Nonlinéaire Vol. 40, N. 3, p. 557-592, 2023

A. Bressan, M. T. Chiri, N. Salehi:
Optimal Control of Moving Sets
Journal of Differential Equations 2023

A. Bressan, C. De Lellis:
A Remark on the Uniqueness of  Solutions to Hyperbolic Conservation Laws
(Preprint) p. 11, 2023

L. Briani, D. Bucur:
Mean-to-max ratio of the torsion function and honeycomb structures
(Preprint) 2023

C. Brizzi, G. Carlier, L. De Pascale:
Entropic approximation of $\infty$-optimal transport problems
(preprint) 2023

C. Brizzi, L. De Pascale:
A property of Absolute Minimizers in $L^\infty$ Calculus of Variations  and of solutions of the Aronsson-Euler equation
Advances in Differential Equations Vol. 28, N. 3-4, p. 287--310, 2023

C. Brizzi, L. De Pascale, A. Kausamo:
$L^\infty$-optimal transport for a class of quasiconvex cost functions
J. Math. Anal. Appl. Vol. 527, N. 1, p. Paper No. 127331, 18, 2023

G. C. Brusca:
Homogenization in perforated domains at the critical scale
Nonlinear Analysis (Accepted Paper) 2023

E. Bruč, A. Naber, D. Semola:
Fundamental Groups and the Milnor Conjecture
(Preprint) p. 56, 2023

E. Bruč, A. Naber, D. Semola:
Six dimensional counterexample to the Milnor Conjecture
(Preprint) p. 40, 2023

E. Bruč, A. Naber, D. Semola:
Stability of Tori under Lower Sectional Curvature
Geometry & Topology (Accepted Paper) 2023

D. Bucur, A. Chambolle, A. Giacomini, M. Nahon:
A free discontinuity approach to optimal profiles in Stokes flows
(preprint) 2023

D. Bucur, J. Lamboley, M. Nahon, R. Prunier:
Sharp Quantitative Stability of the Dirichlet spectrum near the ball
(preprint) 2023

L. Bungert:
The convergence rate of $p$-harmonic to infinity-harmonic functions
Communications in Partial Differential Equations Vol. 48, N. 10-12, p. 1323-1339, 2023

L. Bungert:
The inhomogeneous $p$-Laplacian equation with Neumann boundary  conditions in the limit $p\to\infty$
Advances in Continuous and Discrete Models Vol. 2023, N. 1, p. 1-17, 2023

L. Bungert, J. Calder , T. Roith:
Uniform convergence rates for Lipschitz learning on graphs
IMA Journal of Numerical Analysis Vol. 43, N. 4, p. 24452495, 2023

L. Bungert, N. Garcia Trillos, M. Jacobs, D. McKenzie, . Nikoli, Q. Wang:
It begins with a boundary: A geometric view on probabilistically robust
  learning
(preprint) 2023

L. Bungert, T. Roith:
Continuum Limit of Lipschitz Learning on Graphs
Foundations of Computational Mathematics Vol. 23, N. 2, p. 393-431, 2023

A. Burchard, D. Carazzato, I. Topaloglu:
Maximizers of nonlocal interactions of Wasserstein type
(preprint) 2023

G. Buttazzo, J. Casado-Diaz, F. Maestre:
On the regularity of optimal potentials in control problems governed by elliptic equations
(Preprint) 2023

M. Buzancic, E. Davoli, I. Veli:
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes
Advances in Calculus of Variations (Accepted Paper) 2023

M. Buze, Manh Hong Duong:
Entropic regularisation of unbalanced optimal transportation problems
(preprint) 2023

T. Caillet:
The five gradients inequality for non quadratic costs
Comptes Rendus. Mathématique Vol. 361, p. 715-721, 2023

G. Caldini, A. Marchese, A. Merlo, S. Steinbrüchel:
Generic uniqueness for the Plateau problem
J. Math. Pures Appl. (Accepted Paper) 2023

V. Calisti, I. Lucardesi, J. F. Scheid:
Shape Sensitivity Analysis of a 2D Fluid-Structure Interaction Problem
Journal of Optimization Theory and Applications 2023

V. Calvez, D. Poyato, F. Santambrogio:
Uniform contractivity of the Fisher infinitesimal model with strongly convex selection
(Submitted Paper) 2023

F. Camilli, A. Goffi, C. Mendico:
Quantitative and qualitative properties for Hamilton-Jacobi PDEs via the nonlinear adjoint method
(Submitted Paper) 2023

J. Candau-Tilh, M. Goldman, B. Merlet:
An exterior optimal transport problem
(Preprint) 2023

G. Canevari, A. Majumdar, B. Stroffolini, Y. Wang:
Two-dimensional Ferronematics, Canonical Harmonic Maps and Minimal  Connections
Archive for Rational Mechanics and Analysis (Accepted Paper) 2023

N. Cangiotti, M. Capolli:
Morrey-Campanato Functional Spaces for Carnot Groups
(preprint) 2023

N. Cangiotti, M. Capolli, M. Sensi, S. Sottile:
A survey on Lyapunov functions for epidemic compartmental models
(preprint) 2023

N. Cangiotti, M. Caponi, A. Maione, E. Vitillaro:
Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators
Milan Journal of Mathematics Vol. 91, N. 2, p. 375-403, 2023

L. Capogna, G. Giovannardi, A. Pinamonti, S. Verzellesi:
The asymptotic $p$-Poisson equation as $p \to \infty$  in Carnot-Carathéodory spaces
Mathematische Annalen (Accepted Paper) 2023

M. Caponi, A. Carbotti, F. Sapio:
The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture
(Submitted Paper) p. 24, 2023

M. Caponi, V. Crismale:
A rate-independent model for geomaterials under compression coupling  strain gradient plasticity and damage
(preprint) 2023

E. Caponio, D. Corona:
A variational setting for an indefinite Lagrangian with an affine Noether charge
Calculus of Variations and Partial Differential Equations Vol. 62, 2023

E. Caputo, J. Koivu, T. Rajala:
Sobolev, BV and perimeter extensions in metric measure spaces
Annales Fennici Mathematici 2023

E. Caputo, M. Lui, E. Pasqualetto, I. Vojnovi:
On the integration of Banach modules and its applications to vector
  calculus on ${\sf RCD}$ spaces
(preprint) 2023

E. Caputo, T. Rossi:
First-order heat content asymptotics on ${\sf RCD}(K,N)$ spaces
Nonlinear Analysis 2023

I. Capuzzo Dolcetta, A. Davini:
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case
Comm. Partial Differential Equations Vol. 48, N. 4, p. 576622, 2023

S. Carano:
Relaxed area of $0$-homogeneous maps in the strict $BV$-convergence
Annali di Matematica Pura ed Applicata (Accepted Paper) p. 16, 2023

S. Carano, D. Mucci:
Strict BV relaxed area of Sobolev maps into the circle: the high dimension case
NoDEA (Accepted Paper) 2023

L. Caravenna, E. Marconi, A. Pinamonti:
Hölder regularity of continuous solutions to balance laws and  applications in the Heisenberg group
(Preprint) 2023

D. Carazzato:
A note on some non-local variational problems
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 2023

D. Carazzato, A. Pratelli, I. Topaloglu:
On the existence of minimizing sets for a weakly-repulsive non-local
  energy
(preprint) 2023

A. Carbonaro, L. Tamanini, D. Trevisan:
Boundedness of Riesz transforms on $RCD(K,\infty)$ spaces
(preprint) 2023

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Stability of the Gaussian Faber-Krahn inequality
Annali di Matematica Pura e Applicata (Accepted Paper) p. 16, 2023

M. Carducci:
Epiperimetric inequalities in the obstacle problem for the fractional
  Laplacian
(preprint) 2023

M. Carducci:
Optimal regularity of the thin obstacle problem by an epiperimetric  inequality
Annali di Matematica Pura ed Applicata (1923 -) 2023

M. Carioni, Hong Ye Tan, S. Mukherjee, J. Tang:
Unsupervised approaches based on optimal transport and convex analysis
  for inverse problems in imaging
(preprint) 2023

M. Carioni, Leonardo Del Grande:
A General Theory for Exact Sparse Representation Recovery in Convex
  Optimization
(preprint) 2023

G. Carlier, P. Pegon, L. Tamanini:
Convergence rate of general entropic optimal transport costs
Calculus of Variations and Partial Differential Equations Vol. 62, 2023

M. Caroccia:
A Compactness Theorem for functions on Poisson point clouds
Nonlinear Analysis Vol. 231, 2023

M. Caroccia, G. Saracco:
Isoperimetric sets and $p$-Cheeger sets are in bijection
J. Geom. Anal. Vol. 33, N. 129, 2023

M. Carozza, L. Esposito, L. Lamberti:
Quasiconvex Bulk and Surface Energies: $C^{1,\,\alpha}$ Regularity
(Preprint) 2023

G. Carron, I. Mondello, D. Tewodrose:
Kato meets Bakry-Émery
(preprint) 2023

G. Carron, I. Mondello, D. Tewodrose:
Limits of manifolds with a Kato bound on the Ricci curvature
Geometry and Topology (Accepted Paper) 2023

G. Carron, I. Mondello, D. Tewodrose:
Stability of the Betti number under Kato bounds on the Ricci curvature
Journal of the London Mathematical Society Vol. 107(3), p. 943--97, 2023

J. Casado-Diaz, G. A. Francfort, O. Lopez-Pamies, M. G. Mora:
Liquid Filled Elastomers: From Linearization to Elastic Enhancement
(Submitted Paper) 2023

M. Caselli, E. Florit-Simon, J. Serra:
Yau's conjecture for nonlocal minimal surfaces
(Preprint) 2023

M. Caselli, L. Gennaioli:
Asymptotics as $s \to 0^+$ of the fractional perimeter on Riemannian manifolds
(Preprint) p. 39, 2023

D. Castorina, G. Catino, C. Mantegazza:
Semilinear Li & Yau inequalities
Ann. Mat. Pura Appl. Vol. 202, p. 827-850, 2023

G. Catino:
Metrics of constant negative scalar-Weyl curvature
Math. Res. Lett. Vol. 30, N. 2, p. 319-340, 2023

G. Catino, D. Dameno, P. Mastrolia:
Rigidity results for Riemannian twistor spaces under vanishing curvature conditions
Ann. Glob. Anal. Geom. Vol. 63, 2023

G. Catino, Y. Li, D. D. Monticelli, A. Roncoroni:
A Liouville theorem in the Heisenberg Group
(Submitted Paper) 2023

G. Catino, P. Mastrolia, D. D. Monticelli:
Uniqueness of critical metrics for a quadratic curvature functional
(Submitted Paper) 2023

G. Catino, D. D. Monticelli, A. Roncoroni:
On the critical p-Laplace equation
Adv. Math. Vol. 433, p. 109331, 2023

G. Catino, A. Roncoroni:
A closure result for globally hyperbolic spacetimes
(Preprint) 2023

G. Cavagnari, G. Savaré, G. E. Sodini:
A Lagrangian approach to totally dissipative evolutions in Wasserstein
  spaces
(preprint) 2023

G. Cavagnari, G. Savaré, G. E. Sodini:
Extension of monotone operators and Lipschitz maps invariant for a group  of isometries
Canadian Journal of Mathematics 2023

F. Cavalletti, A. Mondino, D. Semola:
Quantitative Obata's Theorem
Analysis & PDE Vol. 16, N. 6, p. 13891431, 2023

L. Cavallina, K. Funano, A. Henrot, A. Lemenant, I. Lucardesi, S. Sakaguchi:
Two extremum problems for Neumann eigenvalues
(Submitted Paper) 2023

A. Cesaroni, I. Fragalŕ, M. Novaga:
Lattice tilings minimizing nonlocal perimeters
(Submitted Paper) 2023

A. Cesaroni, M. Novaga:
Fractional mean curvature flow of Lipschitz graphs
Manuscripta Mathematica Vol. 170, N. 3-4, p. 427-451, 2023

A. Cesaroni, M. Novaga:
Minimal periodic foams with equal cells
(Accepted Paper) 2023

A. Chambolle, M. Novaga:
$L^1$-gradient flow of convex functionals
(Submitted Paper) 2023

D. Cherkashin, F. Petrov:
Branching points in the planar Gilbert--Steiner problem have degree 3
(preprint) 2023

D. Cherkashin, Y. Teplitskaya:
A self-similar infinite binary tree is a solution of Steiner problem
Fractal and Fractional (preprint) Vol. 7, N. 5, p. 414, 2023

A. Chiarini, G. Conforti, G. Greco, L. Tamanini:
Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability
Comm. Part. Differ. Equat. 2023

M. T. Chiri, X. Gong, B. Piccoli:
Mean-Field Limit of a Hybrid System for Multi-Lane Car-Truck Traffic
Netw. Heterog. Media 2023

M. Cicalese, L. Kreutz, G. P. Leonardi:
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices
Comm. Math. Phys. Vol. 402, N. 3, p. 29312978, 2023

M. Cicalese, G. Orlando, M. Ruf:
A classical $\mathbb{S}^2$ spin system with discrete out-of-plane anisotropy: variational analysis  at surface and vortex scalings
Nonlinear Analysis Vol. 231, p. 33, 2023

S. Cingolani, M. Gallo, K. Tanaka:
Infinitely many free or prescribed mass solutions for fractional Hartree
  equations and Pohozaev identities
(preprint) 2023

M. Cirant, A. Cosenza, G. Verzini:
Ergodic Mean Field Games: existence of local minimizers up to the
  Sobolev critical case
(preprint) 2023

M. Cirant, A. Goffi:
On the Liouville property for fully nonlinear equations with superlinear first-order terms
Contemporary Mathematics, AMS, Proceedings of the conference "Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs" 2023

S. Cito, A. Giacomini:
Minimization of the $k$-th eigenvalue of the Robin-Laplacian with perimeter constraint
(Submitted Paper) 2023

S. Cito, G. Paoli, G. Piscitelli:
A stability result for the first Robin-Neumann eigenvalue: A double
  perturbation approach
(preprint) 2023

G. Citti, B. Stroffolini:
Internal Schauder estimates for H\"ormander type equations with Dini continuous source
(Preprint) 2023

N. Clozeau, F. Mattesini:
Annealed quantitative estimates for the quadratic 2D-discrete random  matching problem
Probability Theory and Related Fields 2023

G. M. Coclite, M. Colombo, G. Crippa, N. De Nitti, A. Keimer, E. Marconi, L. Pflug, L. V. Spinolo:
Olenik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit
(Submitted Paper) 2023

G. M. Coclite, N. De Nitti, A. Keimer, L. Pflug, E. Zuazua:
Long-time convergence of a nonlocal Burgers' equation towards the local N-wave
(Submitted Paper) 2023

G. E. Comi, G. Crasta, V. De Cicco, A. Malusa:
Representation formulas for pairings between divergence-measure fields and $BV$ functions
Journal of Functional Analysis 2023

G. E. Comi, V. De Cicco, G. Scilla:
Beyond $BV$: new pairings and Gauss-Green formulas for measure fields with divergence measure
(Preprint) 2023

G. E. Comi, G. P. Leonardi:
The prescribed mean curvature measure equation in non-parametric form
(preprint) 2023

G. E. Comi, G. Stefani:
Failure of the local chain rule for the fractional variation
Port. Math. Vol. 80, N. 1-2, p. 1-25, 2023

G. E. Comi, G. Stefani:
Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula
Boll. Unione Mat. Ital. 2023

G. E. Comi, G. Stefani:
On sets with finite distributional fractional perimeter
Conference proceedings of the workshop "Anisotropic Isoperimetric Problems & Related Topics" held in Rome, 5-9 Sept 2022. (Accepted Paper) 2023

S. Conti, M. Focardi, F. Iurlano:
Approximation of $SBV$ functions with possibly infinite jump set
(Submitted Paper) 2023

A. Corbo Esposito, L. Faella, V. Mottola, G. Piscitelli, R. Prakash, A. Tamburrino:
Monotonicity principle for the imaging of piecewise nonlinear materials
(preprint) 2023

A. Corbo Esposito, V. Mottola, G. Piscitelli, A. Tamburrino:
Imaging of nonlinear materials via the Monotonicity Principle
(preprint) 2023

F. Corni, V. Magnani:
Area of intrinsic graphs in homogeneous groups
(Submitted Paper) 2023

D. Corona, A. Della Corte, F. Giannoni:
A non-autonomous variational problem describing a nonlinear Timoshenko beam
SIAM Journal of Mathematical Analysis Vol. 55, N. 5, p. 4664--4694, 2023

D. Corona, R. Giambň, F. Giannoni, P. Piccione:
On the relative category in the brake orbits problem
Topological Methods in Nonlinear Analysis Vol. 61, p. 199--215, 2023

D. Corro, Leonardo F. Cavenaghi, Marcelo K. Inagaki, Marcos M. Alexandrino:
Singular Riemannian Foliations, variational problems and Principles of
  Symmetric Criticalities
(preprint) 2023

P. Creutz, N. Evseev:
Weak differentiability of metric space valued Sobolev maps
(preprint) 2023

G. Crippa, M. Inversi, C. Saffirio, G. Stefani:
Existence and stability of weak solutions of the Vlasov-Poisson system  in localized Yudovich spaces
(Submitted Paper) 2023

V. Crismale, L. De Luca, A. Kubin, A. Ninno, M. Ponsiglione:
The variational approach to $s$-fractional heat flows and the limit cases $s\to 0^+$ and $s\to 1^-$
J. Funct. Anal. Vol. 284, p. Paper no. 109851, 2023

V. Crismale, A. Kubin, A. Ninno, M. Ponsiglione:
Failure of crystallization for generalized Lennard-Jones potentials and  coarse graining to a rotating stars problem in one dimension
Nonlinear Analysis Vol. 231, p. Paper no. 113046, 2023

V. Crismale, G. Lazzaroni, R. Rossi:
On the visco-plastic approximation of a rate-independent coupled
  elastoplastic damage model
(preprint) 2023

V. Crismale, G. Lazzaroni, R. Rossi:
Singular limits of a coupled elasto-plastic damage system as viscosity  and hardening vanish
Ann. Mat. Pura Appl. Vol. 202, p. 1271-1312, 2023

G. Cristinelli, J. A. Iglesias, D. Walter:
Conditional gradients for total variation regularization with PDE  constraints: a graph cuts approach
(Submitted Paper) 2023

R. Cristoferi, I. Fonseca, L. Ganedi:
Homogenization and Phase Separation with Fixed Wells - The Supercritical Case
(Submitted Paper) 2023

L. D'Elia, E. Davoli, J. Ingmanns:
Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
Journal of Nonlinear Science (Accepted Paper) 2023

L. D'Elia, M. Eleuteri, E. Zappale:
Homogenization of supremal functionals in vectorial setting (via  power-law approximation)
(preprint) 2023

C. D'Onofrio, C. I. Zeppieri:
$\Gamma$-convergence and stochastic homogenisation of degenerate integral functionals in weighted Sobolev spaces
Proc. Roy. Soc. Edinburgh Section A Vol. 153, N. 2, p. 491--544, 2023

G. Dal Maso, R. Toader:
Gamma-convergence and integral representation for a class of free discontinuity functionals
(Submitted Paper) 2023

G. Dal Maso, R. Toader:
Homogenisation problems for free discontinuity functionals with bounded cohesive surface term
(Submitted Paper) 2023

U. Das, R. Kumar, A. Sarkar:
Characterizations of compactness and weighted eigenvalue problem for  fractional $p$-Laplacian in $\mathbb{R}^N$
(preprint) 2023

N. David, F. Santambrogio:
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations
(Submitted Paper) 2023

A. Davini:
Stochastic homogenization of quasiconvex degenerate viscous HJ equations  in 1d
(preprint) 2023

A. Davini, J. L. P. Garmendia, R. Iturriaga, J. C. Pardo, H. Sanchez Morgado:
Discrete approximation of stochastic Mather measures
Proceedings of the American Mathematical Society 2023

A. Davini, E. Kosygina, A. Yilmaz:
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations  in one space dimension
(Submitted Paper) 2023

E. Davoli, G. Di Fratta, A. Fiorenza, L. Happ:
A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents
(Submitted Paper) 2023

E. Davoli, G. Di Fratta, V. Pagliari:
Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
(Submitted Paper) 2023

E. Davoli, R. Ferreira, I. Fonseca, J. A. Iglesias:
Dyadic partition-based training schemes for TV/TGV denoising
(Submitted Paper) 2023

E. Davoli, R. Ferreira, C. Kreisbeck, H. Schönberger:
Structural changes in nonlocal denoising models arising through bi-level parameter learning
Applied Mathematics and Optimization (Accepted Paper) 2023

E. Davoli, I. Fonseca, P. Liu:
Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme
Journal of Nonlinear Science (Accepted Paper) 2023

E. Davoli, E. Rocca, L. Scarpa, L. Trussardi:
Local asymptotics and optimal control for a viscous Cahn-Hilliard-reaction-diffusion model for tumor growth
(Submitted Paper) 2023

E. Davoli, U. Stefanelli:
Level sets of Eikonal functions are John regular
(Submitted Paper) 2023

Y. De Castro, V. Duval, R. Petit:
Exact recovery of the support of piecewise constant images via total  variation regularization
(preprint) 2023

V. De Cicco, G. Scilla:
Lower semicontinuity in $GSBD$ for nonautonomous surface integrals
ESAIM: COCV Vol. 29, N. 13, 2023

P. De Donato:
Rectifiability of stationary varifolds branching set with multiplicity at most 2
(Ph.D. Thesis) p. 83, 2023

F. De Filippis, F. Leonetti, P. Marcellini, E. Mascolo:
The Sobolev class where a weak solution is a local minimizer
Rendiconti Lincei - Matematica e Applicazioni Vol. 34, N. 2, p. 451-463, 2023

D. De Gennaro, A. Diana, A. Kubin, A. Kubin:
Stability of the surface diffusion flow and volume-preserving mean  curvature flow in the flat torus
Math. Ann. (Accepted Paper) 2023

D. De Gennaro, A. Kubin, A. Kubin:
Asymptotic of the Discrete Volume-Preserving Fractional Mean Curvature Flow via a Nonlocal Quantitative Alexandrov Theorem
Nonlinear Anal. 2023

D. De Gennaro, A. Kubin:
Long Time Behaviour of the Discrete Volume Preserving Mean Curvature  Flow in the Flat Torus
Calculus of Variations and Partial Differential Equations 2023

C. De Lellis, I. Fleschler:
An elementary rectifiability lemma and some applications
(Preprint) 2023

C. De Lellis, M. Focardi:
The regularity theory for the Mumford-Shah functional on the plane
(Lecture Notes) 2023

C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard:
Excess decay for minimizing hypercurrents mod $2Q$
(Submitted Paper) 2023

C. De Lellis, P. Minter , A. Skorobogatova:
The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and $\mathcal{H}^{m-2}$-a.e. uniqueness of tangent cones
(Preprint) 2023

C. De Lellis, S. Nardulli, S. Steinbrüchel:
Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing
  currents
Nonlinear Analysis Vol. 230, 2023

C. De Lellis, A. Skorobogatova:
The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points
(Preprint) 2023

C. De Lellis, A. Skorobogatova:
The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$
(Preprint) 2023

G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello:
Harmonic functions and gravity localization
The Journal of High Energy Physics (Accepted Paper) 2023

L. De Luca, G. Del Nin:
A crystallization result in two dimensions for a soft disc affine potential
(Preprint) 2023

L. De Luca, M. Morini, M. Ponsiglione, E. Spadaro:
Parabolic $\alpha$-Riesz flows and limit cases $\alpha\to 0^+$, $\alpha\to d^-$
(Preprint) 2023

L. De Masi, C. Gasparetto:
Non-rigidity of the absolutely continuous part of $\mathcal{A}$-free measures
(Submitted Paper) 2023

N. De Nitti, S. M. Djitte:
Fractional Hardy-Rellich inequalities via a Pohozaev identity
(Submitted Paper) 2023

N. De Nitti, F. Schweiger:
Scaling limits for fractional polyharmonic Gaussian fields
(Submitted Paper) 2023

G. De Philippis, A. De Rosa:
The anisotropic Min-Max theory: Existence of anisotropic minimal and CMC surfaces
Comm. Pure App. Math. 2023

G. De Philippis, C. Gasparetto, F. Schulze:
A short proof of Allards and Brakkes regularity theorems
International Mathematics Research Notices 2023

G. De Philippis, M. Goldman, B. Ruffini:
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors
(Submitted Paper) 2023

G. De Philippis, A. Guerra, R. Tione:
Unique continuation for differential inclusions
(preprint) 2023

G. De Philippis, R. Tione:
On singular strictly convex solutions to the Monge-Ampere equation
(Preprint) 2023

N. De Ponti, S. Farinelli, I. Y. Violo:
Pleijel nodal domain theorem in non-smooth setting
(Preprint) 2023

A. De Rosa, A. Khajavirad:
Efficient Joint Object Matching via Linear Programming
Math. Program. 2023

A. De Rosa, R. Neumayer:
Local Minimizers of the Anisotropic Isoperimetric Problem on Closed  Manifolds
(Submitted Paper) 2023

A. De Rosa, R. Resende:
Boundary regularity for anisotropic minimal Lipschitz graphs
Comm. Partial Differential Equations 2023

A. De Rosa, R. Tione:
The double and triple bubble problem for stationary varifolds: the convex case
(Submitted Paper) 2023

L. De Rosa, M. Inversi, G. Stefani:
Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces
J. Differ. Equ. Vol. 366, p. 833 - 861, 2023

L. De Rosa, M. Latocca, G. Stefani:
Full double Hölder regularity of the pressure in bounded domains
Int. Math. Res. Not. IMRN 2023

L. De Rosa, M. Latocca, G. Stefani:
On double Hölder regularity of the hydrodynamic pressure in bounded domains
Calc. Var. Partial Differ. Equ. Vol. 62, 2023

D. De Silva, G. Tortone:
A vectorial problem with thin free boundary
Calculus of Variations and Partial Differential Equations 2023

G. Del Nin, R. Perales:
Rigidity of mass-preserving $1$-Lipschitz maps from integral current  spaces into $\mathbb{R}^n$
J. Math. Anal. Appl. (Accepted Paper) Vol. 526, N. 1, 2023

S. Della Corte, A. Diana, C. Mantegazza:
Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces
(Submitted Paper) 2023

L. Dello Schiavo, F. Quattrocchi:
Multivariate Dirichlet Moments and a Polychromatic Ewens Sampling
  Formula
(preprint) 2023

D. Di Donato:
Normed spaces using intrinsically Lipschitz sections and Extension
  Theorem for the intrinsically Hölder sections
(preprint) 2023

G. Di Fratta, C. Muratov, V. Slastikov:
Reduced energies for thin ferromagnetic films with perpendicular  anisotropy
(Submitted Paper) 2023

G. Di Fratta, V. Slastikov, A. Zarnescu:
Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime
(Submitted Paper) 2023

G. Di Fratta, F. Solombrino:
Korn and Poincaré-Korn inequalities: A different perspective
(Submitted Paper) 2023

S. Di Marino, A. Gerolin, L. Nenna:
Universal diagonal estimates for minimizers of the Levy-Lieb functional
(Accepted Paper) 2023

S. Di Marino, S. Murro, E. Radici:
The five gradients inequality on differentiable manifolds
(preprint) 2023

A. Diana:
Elastic flow of curves with partial free boundary
(Submitted Paper) 2023

A. Diana, N. Fusco, C. Mantegazza:
Stability for the Surface Diffusion Flow
(Submitted Paper) 2023

F. L. Dipasquale, B. Stroffolini:
Manifold-constrained free discontinuity problems and Sobolev  approximation
(preprint) 2023

S. Don, V. Magnani:
Surface measure on, and the local geometry of, sub-Riemannian manifolds
Calc. Var. Partial Differential Equations Vol. 62, N. 254, p. 42, 2023

D. Donati:
A new space of generalised vector-valued functions of bounded variation
(Preprint) 2023

P. W. Dondl, A. Maione, S. Wolff-Vorbeck:
Phase field model for multi-material shape optimization of inextensible rods
(Submitted Paper) 2023

A. F. Donnarumma, M. Friedrich:
Stochastic homogenisation for functionals defined on asymptotically
  piecewise rigid functions
(preprint) 2023

A. Dumas, F. Santambrogio:
Optimal trajectories in $L^1$ and under $L^1$ penalizations
Comptes Rendus Mathématiques (Accepted Paper) 2023

R. Durastanti, L. Giacomelli:
Thin-film equations with singular potentials: an alternative solution to the contact-line paradox
Journal of Nonlinear Science 2023

R. Durastanti, R. Magnanini:
Nonlinear asymptotic mean value characterizations of holomorphic
  functions
(preprint) 2023

S. Dweik:
Optimal region for the transport problem to the boundary
Journal of Mathematical Analysis and Applications (Accepted Paper) 2023

S. Dweik:
Summability of the transport density in the import-export transport problem with Riemannian cost
(Preprint) 2023

S. Dweik:
The least gradient problem with Dirichlet and Neumann boundary conditions
(Preprint) 2023

N. Edelen, L. Spolaor, B. Velichkov:
The symmetric (log-)epiperimetric inequality and a decay-growth estimate
(Preprint) 2023

V. Ehrlacher, L. Nenna:
A sparse approximation of the Lieb functional with moment constraints
(Preprint) 2023

N. Eldredge, M. Gordina, E. Le Donne, S. Li:
Notions of null sets in infinite-dimensional Carnot groups
(preprint) 2023

M. Eleuteri, L. Lussardi, A. Torricelli:
Asymptotic analysis of a family of non-local functionals on sets
ESAIM COCV Vol. 29, p. 1-15, 2023

M. Eleuteri, F. Prinari, E. Zappale:
Asymptotic analysis of thin structures with point dependent energy  growth
Mathematical Models and Methods in Applied Sciences (preprint) 2023

F. Essebei, G. Giovannardi, S. Verzellesi:
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups
(Preprint) 2023

F. Essebei, E. Pasqualetto:
Variational problems concerning length distances in metric spaces
(preprint) 2023

J. Evans, H. Yoldas:
Trend to equilibrium for run and tumble equations with non-uniform
  tumbling kernels
(preprint) 2023

S. Farinelli, A. Scagliotti:
Normalizing flows as approximations of optimal transport maps via
  linear-control neural ODEs
(preprint) 2023

D. Feliciangeli, A. Gerolin, L. Portinale:
A Non-Commutative Entropic Optimal Transport Approach to Quantum  Composite Systems at Positive Temperature
Journal of Functional Analysis 2023

V. Felli, L. Liverani, R. Ognibene:
Quantitative spectral stability for the Neumann Laplacian in domains
  with small holes
(preprint) 2023

V. Felli, B. Noris, R. Ognibene, G. Siclari:
Quantitative spectral stability for Aharonov-Bohm operators with many
  coalescing poles
(preprint) 2023

V. Ferone, G. Piscitelli, B. Volzone:
Symmetrization results for general nonlocal linear ellipitic and
  parabolic problems
(preprint) 2023

L. Ferreri, G. Tortone, B. Velichkov:
A capillarity one-phase Bernoulli free boundary problem
(preprint) 2023

L. Ferreri, B. Velichkov:
A one-sided two phase Bernoulli free boundary problem
(preprint) 2023

L. Ferreri, B. Velichkov:
Regularity for one-phase Bernoulli problems with discontinuous weights
  and applications
(preprint) 2023

L. Ferreri, G. Verzini:
Asymptotic properties of an optimal principal Dirichlet eigenvalue
  arising in population dynamics
(preprint) 2023

A. Figalli, X. Ros-Oton, J. Serra:
The singular set in the Stefan problem
J. Amer. Math. Soc (Accepted Paper) 2023

F. Fiorani, A. Mondino, D. Semola:
Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces
(Preprint) 2023

J. Fischer, A. Marveggio:
Quantitative convergence of the vectorial Allen-Cahn equation towards  multiphase mean curvature flow
Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2023

F. Fleißner:
A Kernel-Density-Estimator Minimizing Movement Scheme for Diffusion Equations
(Submitted Paper) 2023

G. Foghem:
Banach-Saks Theorem for $L^1$ revisited
(preprint) 2023

G. Foghem:
Nonlocal characterization of Sobolev spaces
Partial Differential Equations and Applications p. 27, 2023

G. Foghem:
Nonlocal characterization of Sobolev spaces
Partial Differential Equations and Applications p. 27, 2023

G. Foghem:
Stability of complement value problems for $p$-Lévy operators
(preprint) 2023

G. Foghem, D. Padilla-Garza, M. Schmidtchen:
Gradient Flow Solutions For Porous Medium Equations with Nonlocal
  Lévy-type Pressure
(preprint) 2023

M. Fornasier, P. Heid, G. E. Sodini:
Approximation Theory, Computing, and Deep Learning on the Wasserstein
  Space
(preprint) 2023

M. Fortuna, A. Garroni:
Homogenization of line tension energies
(Submitted Paper) 2023

D. Fortunato, P. Miller, C. Muratov, M. Novaga, S. Shvartsman:
Generation and motion of interfaces in a mass-conserving reaction-diffusion system
SIAM J. Appl. Dyn. Syst. Vol. 22, N. 3, p. 2408-2431, 2023

V. Franceschi, R. Monti, A. Socionovo:
Mean value formulas on surfaces in Grushin spaces
(Preprint) 2023

V. Franceschi, K. Naderi, K. Pankrashkin:
Embedded trace operator for infinite metric trees
(preprint) 2023

V. Franceschi, A. Pratelli, G. Stefani:
On the Steiner property for planar minimizing clusters. The anisotropic case.
J. Éc. polytech. Math. Vol. 10, p. 989--1045, 2023

V. Franceschi, A. Pratelli, G. Stefani:
On the Steiner property for planar minimizing clusters. The isotropic case.
Commun. Contemp. Math. Vol. 25, N. 5, p. 2250040, 29 pp., 2023

G. Franzina, B. Volzone:
Large time behavior of fractional porous media equation
(Preprint) 2023

M. Friedrich, L. Kreutz, K. Zemas:
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids
Math. Models Methods Appl. Sci. (M3AS) (Accepted Paper) 2023

M. Friedrich, M. Perugini, F. Solombrino:
$$-convergence for free-discontinuity problems in linear  elasticity: Homogenization and relaxation
Indiana University Mathematics Journal Vol. 72, N. 5, p. 1949--2023, 2023

I. Ftouhi, E. Zuazua:
Optimal design of sensors via geometric criteria
Journal of Geometric Analysis 2023

N. Fusco, D. A. La Manna:
A remark on a conjecture on the symmetric Gaussian Problem
(preprint) 2023

N. Fusco, F. Maggi, M. Morini, M. Novack:
Rigidity and large volume residues in exterior isoperimetry for convex sets
(Preprint) 2023

K. Fässler, A. Pinamonti, P. Wald:
Kakeya Maximal inequality in the Heisenberg group
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (Accepted Paper) 2023

K. Fässler, I. Y. Violo:
On various Carleson-type geometric lemmas and uniform rectifiability in  metric spaces
(preprint) 2023

A. Gerolin, N. Monina:
Non-commutative Optimal Transport for semi-definite positive matrices
(preprint) 2023

D. Giachetti, F. Oliva, F. Petitta:
Bounded solutions for non-parametric mean curvature problems with
  nonlinear terms
(preprint) 2023

F. Giannetti, G. Stefani:
On the convex components of a set in $\mathbb{R}^n$
Forum Math. Vol. 35, N. 1, p. 187 - 199, 2023

F. Giannetti, G. Stefani:
On the monotonicity of non-local perimeter of convex bodies
(Submitted Paper) 2023

N. Gigli, A. Mondino, D. Semola:
On the notion of Laplacian bounds on $\mathrm{RCD}$ spaces and applications
Proc. Amer. Math. Soc. (Accepted Paper) p. 12, 2023

J. Ginster:
On the formation of microstructure for singularly perturbed problems with 2,3 or 4 preferred gradients
(Preprint) 2023

J. Ginster, G. Hayrapetyan, A. Pesic, B. Zwicknagl:
A sharp interface limit of a nonlocal variational model for pattern formation in biomembranes
(Submitted Paper) 2023

J. Ginster, B. Zwicknagl:
Energy Scaling Laws for Microstructures: From Helimagnets to Martensites
(Submitted Paper) 2023

P. Gladbach, E. Kopfer, J. Maas, L. Portinale:
Homogenisation of dynamical optimal transport on periodic graphs
Calculus of Variations and Partial Differential Equations 2023

F. Gmeineder, P. Lewintan, P. Neff:
Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions
CalcVar PDE Vol. 62, p. 33, 2023

M. Gobbino, N. Picenni:
A quantitative variational analysis of the staircasing phenomenon for a  second order regularization of the Perona-Malik functional
Trans. Amer. Math. Soc. 2023

M. Gobbino, N. Picenni:
Gamma-liminf estimate for a class of non-local approximations of Sobolev
  and BV norms
(preprint) 2023

M. Gobbino, N. Picenni:
Multi-scale analysis of minimizers for a second order regularization of
  the Perona-Malik functional
(preprint) 2023

M. Gobbino, N. Picenni:
On the characterization of constant functions through nonlocal  functionals
Commun. Contemp. Math. 2023

M. Goering, A. Skorobogatova:
Flat interior singularities for area almost-minimizing currents
(Preprint) 2023

A. Goffi:
Interior Hölder and Calderón-Zygmund estimates for fully nonlinear equations with natural gradient growth
(Submitted Paper) 2023

A. Goffi:
On the optimal $L^q$-regularity for viscous Hamilton-Jacobi equations with subquadratic growth in the gradient
Communications in Contemporary Mathematics 2023

A. Goffi:
On the strong maximum principle for fully nonlinear parabolic equations of second order
(Submitted Paper) 2023

A. Goffi, T. Leonori:
On maximal regularity estimates for quasilinear evolution equations via the integral Bernstein method
(Preprint) 2023

A. Goffi, F. Pediconi:
Sobolev regularity for nonlinear Poisson equations with Neumann boundary conditions on Riemannian manifolds
Forum Mathematicum Vol. 35, N. 2, p. 431-456, 2023

M. Goldman, M. Huesmann, F. Otto:
Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem
(Submitted Paper) 2023

M. Goldman, B. Merlet:
Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure
(Submitted Paper) 2023

M. Goldman, D. Trevisan:
On the concave one-dimensional random assignment problem and Young
  integration theory
(preprint) 2023

V. Goldshtein, P. M. Mariano, D. Mucci, R. Segev:
Continuum Kinematics with Incompatible-Compatible Decomposition
Philosophical Transactions A (Accepted Paper) 2023

P. J. Graber, A. R. Mészáros:
On monotonicity conditions for Mean Field Games
J. Funct. Anal. 2023

R. Granero-Belinchón, M. Magliocca:
A nonlocal equation describing tumor growth
(preprint) 2023

R. Granero-Belinchón, M. Magliocca:
Global existence for certain fourth order evolution equations
(preprint) 2023

D. Gregorin Afonso:
Semilinear equations in bounded cylinders: Morse index and bifurcation
  from one-dimensional solutions
(preprint) 2023

D. Gregorin Afonso, A. Iacopetti, F. Pacella:
Overdetermined problems and relative Cheeger sets in unbounded domains
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 2023

J. F. Grosjean, A. Lemenant, R. Mougenot:
Stable domains for higher order elliptic operators
(Preprint) 2023

A. Guerra, X. Lamy, K. Zemas:
Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension
(Submitted Paper) p. 23 pages, 2023

A. Guerra, X. Lamy, K. Zemas:
Optimal Quantitative Stability of the Möbius group of the sphere in all dimensions
(Submitted Paper) 2023

T. Guo, N. Karagodin, E. Stepanov:
Optimal functional product quantization
(Preprint) 2023

M. Gößwein, M. Novaga, P. Pozzi:
Stability analysis for the anisotropic curve shortening flow of planar networks
(Submitted Paper) 2023

H. Hajaiej, R. Kumar, T. Mukherjee, L. Song:
Existence and non-existence results to a mixed Schrodinger system in a  plane
(preprint) 2023

A. Halavati:
New weighted inequalities on two manifolds
(Preprint) 2023

A. Halavati:
Quantitative stability of Yang-Mills-Higgs instantons in two dimensions
(Submitted Paper) 2023

A. Hassannezhad, D. Sher:
On Pleijel's nodal domain theorem for the Robin problem
(preprint) 2023

A. Henrot, A. Lemenant, I. Lucardesi:
An isoperimetric problem with two distinct solutions
Transactions of the American Mathematical Society (Accepted Paper) 2023

A. Henrot, I. Lucardesi:
A Blaschke-Lebesgue theorem for the Cheeger constant
Communications in Contemporary Mathematics (Accepted Paper) 2023

J. Hirsch, C. Mooney, R. Tione:
On the Lawson-Osserman conjecture
(Submitted Paper) 2023

S. Honda, C. Ketterer, I. Mondello, R. Perales, C. Rigoni:
Gromov-Hausdorff stability of tori under Ricci and integral scalar
  curvature bounds
(preprint) 2023

M. Huesmann, F. Mattesini, F. Otto:
There is no stationary $p$-cyclically monotone Poisson matching in 2D
(preprint) 2023

M. Hyde, M. Villa, I. Y. Violo:
Ricci curvature bounded below and uniform rectifiability
(preprint) 2023

K. O. Idu, F. P. Maiale:
$C^{1,}$-rectifiability in low codimension in Heisenberg groups
(preprint) 2023

M. Inversi, G. Stefani:
Lagrangian stability for a system of non-local continuity equations under Osgood condition
Contemp. Math. (Accepted Paper) 2023

S. Ishida, H. Lavenant:
Quantitative convergence of a discretization of dynamic optimal
  transport using the dual formulation
(preprint) 2023

M. Izydorek, J. Janczewska, S. Kryzhevich, E. Stepanov:
Constructive nonholonomic controllability of control affine systems on compact manifolds
(Preprint) 2023

A. Jevnikar, J. Wang, W. Yang:
Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems
Z. Angew. Math. Phys. (Accepted Paper) 2023

A. Jevnikar, R. Wu:
Existence results for a super Toda system
Ann. Glob. Anal. Geom. (Accepted Paper) 2023

C. Jimenez:
Equivalence between strict viscosity solution and viscosity solution in the space of Wasserstein and regular extension of the Hamiltonian in $L^2_{I\! P}$
(Submitted Paper) 2023

V. Julin, D. A. La Manna:
Convergence of the volume preserving fractional mean curvature flow for
  convex sets
(preprint) 2023

S. Kholmatov, P. Piovano:
Existence of minimizers for the SDRI model in $\mathbb{R}^n$: Wetting and dewetting regimes with mismatch strain
(Submitted Paper) p. 69, 2023

S. Kholmatov, P. Piovano:
Existence of minimizers for the SDRI model in 2d: wetting and dewetting regime with mismatch strain
Advances in Calculus of Variations p. 52, 2023

L. Koch, M. Ruf, M. Schäffner:
On the Lavrentiev gap for convex, vectorial integral functionals
(preprint) 2023

J. Koivu, D. Lui, T. Rajala:
Approximation by BV-extension sets via perimeter minimization in metric  spaces
International Mathematics Research Notices (Accepted Paper) 2023

S. Kolasiski, M. Santilli:
Regularity of distance functions from arbitrary closed sets
Math. Ann. 2023

A. Kubin, L. Lamberti:
Variational analysis in one and two dimensions of a frustrated spin system: chirality transitions and magnetic anisotropic transitions
Mathematics in Engineering 2023

R. Kumar, T. Mukherjee, A. Sarkar:
On a fractional system of NLS-KDV equations with Hardy potentials
(preprint) 2023

R. Kumar, T. Mukherjee, A. Sarkar:
On critically coupled (s_1, s_2)-fractional system of Schrödinger  equations with Hardy potential
Differential and Integral Equations 2023 (Accepted Paper) 2023

C. Labourie, A. Lemenant:
Uniform concentration property for Griffith almost-minimizers
(Preprint) 2023

F. Lagoutičre, F. Santambrogio, S. Tran Tien:
Vanishing viscosity limit for aggregation-diffusion equations
(Preprint) 2023

P. Lahti, A. Pinamonti, X. Zhou:
BV functions and nonlocal functionals  in metric measure spaces
(Preprint) 2023

H. Lavenant:
Lifting functionals defined on maps to measure-valued maps via optimal transport
(Preprint) 2023

G. Lazzaroni, R. Molinarolo, F. Riva, F. Solombrino:
On the wave equation on moving domains: regularity, energy balance and  application to dynamic debonding
Interfaces Free Bound. Vol. 25, N. 3, p. 401-454, 2023

G. Lazzaroni, P. Wozniak, C. I. Zeppieri:
Strong approximation of SBV functions with prescribed jump direction
(Preprint) 2023

E. Le Donne, N. Paddeu:
Escape from compact sets of normal curves in Carnot groups
(preprint) 2023

A. Leaci, F. Tomarelli:
Symmetrized fractional total variation for signal and image analysis
Advances in Continuous and Discrete Models Vol. 14 (2023), p. 1-17, 2023

C. Leone, G. Scilla, F. Solombrino, A. Verde:
Regularity of minimizers for free-discontinuity problems with $p(\cdot)$-growth
ESAIM: Control, Optimisation and Calculus of Variations Vol. 29, p. 78, 2023

G. Leoni:
A First Course in Fractional Sobolev Spaces
(preprint) 2023

R. Llerena, P. Piovano:
Existence of minimizers for a two-phase free boundary problem  with coherent and incoherent interfaces
(Submitted Paper) p. 62, 2023

I. Lucardesi, D. Mazzoleni, B. Ruffini:
On a Cheeger--Kohler-Jobin inequality
(Preprint) 2023

L. Lussardi, A. Melchor Hernandez, M. Morandotti:
$\Gamma$-convergence of discrete energies modeling self-aggregation of stochastic particles
(Submitted Paper) p. 17, 2023

D. Lui, E. Pasqualetto:
An axiomatic theory of normed modules via Riesz spaces
(preprint) 2023

D. Lui, E. Pasqualetto:
Yet another proof of the density in energy of Lipschitz functions
(preprint) 2023

F. Maggi:
Optimal Mass Transport on Euclidean Spaces
(Book extract) 2023

F. Maggi, M. Novack, D. Restrepo:
A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation
(Preprint) p. 59, 2023

F. Maggi, M. Novack, D. Restrepo:
Plateau borders in soap films and Gauss' capillarity theory
(Preprint) 2023

F. Maggi, M. Santilli:
Rigidity and compactness with constant mean curvature in warped product  manifolds
(preprint) 2023

M. Magnabosco, T. Rossi:
Almost-Riemannian manifolds do not satisfy the $\mathsf{CD}$ condition
Calc. Var. PDE 2023

M. Magnabosco, T. Rossi:
Failure of the curvature-dimension condition in sub-Finsler manifolds
(preprint) 2023

E. Mainini, D. Percivale:
Newton's second law as limit of variational problems
Adv. Cont. Discr. Mod. Vol. 2023, 2023

E. Mainini, D. Percivale:
On the weighted inertia-energy approach to forced wave equations
(Preprint) 2023

A. Maione, D. Mugnai, E. Vecchi:
Variational methods for nonpositive mixed local-nonlocal operators
Fractional Calculus and Applied Analysis Vol. 26, N. 3, p. 943-961, 2023

J. Manfredi, S. Mukherjee:
A NOTE ON THE COMPARISON PRINCIPLE FOR DEGENERATE SUB-ELLIPTIC EQUATIONS
(Preprint) 2023

M. Manfredini, G. Palatucci, M. Piccinini, S. Polidoro:
Hölder continuity and boundedness estimates for nonlinear fractional  equations in the Heisenberg group
J. Geom. Anal. Vol. 33, N. 3, p. Art. 77, 2023

M. Mariani, D. Trevisan:
Wasserstein Asymptotics for Brownian Motion on the Flat Torus and Brownian Interlacements
(Preprint) 2023

P. M. Mariano, D. Mucci:
Crack nucleation in shells with through-the-thickness microstructure
SIAM J. Math. Anal. Vol. 55, N. 5, p. 4977--4997, 2023

P. M. Mariano, D. Mucci:
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter
Mathematics in Engineering Vol. 5, p. 1--21, 2023

R. Marziani, F. Solombrino:
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
Proceedings of the Royal Society Edinburgh Sect. A p. 35, 2023

J. Mateu, M. G. Mora, L. Rondi, L. Scardia, J. Verdera:
Explicit minimisers for anisotropic Coulomb energies in 3D
Advances in Mathematics 2023

M. Mayer, C. Zhu:
Prescribing scalar curvatures: on the negative Yamabe case
(preprint) 2023

D. Mazzoleni, G. Tortone, B. Velichkov:
On the dimension of the singular set in optimization problems with measure constraint
(Preprint) 2023

A. C. G. Mennucci:
Separation functions and mild topologies
Analysis and Geometry in Metric Spaces 2023

A. Mielke, R. Rossi, A. Stephan:
On time-splitting methods for gradient flows with two dissipation
  mechanisms
(preprint) 2023

L. Monsaingeon, L. Tamanini, D. Vorotnikov:
The dynamical Schrödinger problem in abstract metric spaces
Adv. Math. 2023

M. G. Mora:
Nonlocal anisotropic interactions of Coulomb type
(Submitted Paper) 2023

M. Morini, C. Muratov, M. Novaga, V. Slastikov:
Transverse domain walls   in thin ferromagnetic strips
Arch. Rat. Mech. Anal. Vol. 247, N. 3, p. Article 59, 2023

S. Mosconi, G. Riey, M. Squassina:
Concave solutions to Finsler $p$-Laplace type equations
(Preprint) p. 28, 2023

D. Mucci:
A relaxation result for a second order energy of mappings into the sphere
(Submitted Paper) 2023

D. Mucci:
On generalized nonparametric minimal hyperfurfaces in high dimension
J. Geom. Anal. Vol. 33, N. 356, p. 16, 2023

M. Muratori, N. Soave:
Some rigidity results for Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds
Annali Scuola Normale Superiore di Pisa, classe di Scienze Vol. 24, N. 2, p. 751-792, 2023

C. Muratov, M. Novaga, P. Zaleski:
A variational model of charged drops in dielectrically matched binary  fluids: the effect of charge discreteness
(Submitted Paper) 2023

A. R. Mészáros, C. Mou:
Mean Field Games systems under displacement monotonicity
SIAM J. Math. Anal. (Accepted Paper) 2023

M. Novack:
On the relaxation of Gauss's capillarity theory under spanning conditions
(Preprint) 2023

M. Novack:
Regularity for Minimizers of a Planar Partitioning Problem with Cusps
(Preprint) p. 29, 2023

M. Novack, I. Topaloglu, R. Venkatraman:
Least Wasserstein distance between disjoint shapes with perimeter regularization
J. Funct. Anal. Vol. 284, N. 1, p. 109732, 2023

M. Novaga, F. Onoue:
Local Hölder regularity of minimizers for nonlocal variational problems
Communications in Contemporary Mathematics Vol. 25, N. 10, p. 29 pages, 2023

M. Novaga, E. Paolini, E. Stepanov, V. M. Tortorelli:
Isoperimetric planar clusters with infinitely many regions
Networks and Heterogeneous Media Vol. 18, N. 3, p. 1226-1235, 2023

M. Novaga, E. Paolini, V. M. Tortorelli:
Locally isoperimetric partitions
(Preprint) 2023

M. Novaga, L. Sciaraffia:
Singularities of the network flow with symmetric initial data
(Submitted Paper) 2023

F. Oliva, F. Petitta, S. Segura de León:
The role of absorption terms in  Dirichlet problems for the prescribed mean curvature equation
(Preprint) 2023

F. Onoue:
On the shape of hypersurfaces with boundary which have zero fractional mean curvature
(Preprint) 2023

G. Palatucci, M. Piccinini:
Asymptotic approach to singular solutions for the CR Yamabe equation, and a conjecture by H. Brezis and L. A. Peletier in the Heisenberg group
(Preprint) 2023

G. Palatucci, M. Piccinini, L. Temperini:
Struwe's Global Compactness and energy approximation of the critical  Sobolev embedding in the Heisenberg group
(Submitted Paper) 2023

D. Pallara, S. Polidoro:
Mean value formulas for classical solutions to subelliptic evolution equations in stratified Lie groups
(Submitted Paper) 2023

E. Paolini, E. Stepanov:
On the Steiner tree connecting a fractal set
(Preprint) 2023

E. Parini, G. Saracco:
Optimization of the anisotropic Cheeger constant with respect to the anisotropy
Canad. Math. Bull. Vol. 66, N. 3, p. 1030--1043, 2023

F. Paronetto:
An inhomogeneous Harnack inequality for parabolic equations and
  applications to elliptic-parabolic and forward-backward parabolic equations
(preprint) 2023

E. Pasqualetto:
Projective and injective tensor products of Banach $L^0$-modules
(preprint) 2023

E. Pasqualetto, T. Rajala:
Vector calculus on weighted reflexive Banach spaces
(preprint) 2023

X. Pellet, L. Scardia, C. I. Zeppieri:
Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains
Adv. Calc. Var. (Accepted Paper) 2023

M. Perugini:
Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals
Nonlinear Analysis p. 22, 2023

A. Pesic:
Variational models for pattern formation in biomembranes - a $\Gamma$-convergence result
(Preprint) 2023

Peter Olamide Olanipekun:
Rigidity Result for Four Dimensional Willmore Submanifolds with Boundary
(preprint) 2023

N. Picenni:
Staircasing effect for minimizers of the one-dimensional discrete
  Perona-Malik functional
(preprint) 2023

A. Pinamonti, G. Speight, S. Zimmerman:
Higher Order Whitney Extension and Lusin Approximation for Horizontal Curves in the Heisenberg Group
(Preprint) 2023

A. Pinamonti, G. Stefani, S. Verzellesi:
Lipschitz approximation of almost $\mathbb G$-perimeter minimizing boundaries in plentiful groups
(Preprint) 2023

P. Piovano, F. Sapio:
Evolution of crystalline thin films by evaporation and condensation in three dimensions
(Submitted Paper) 2023

P. Piovano, I. Veli:
Microscopical justification of the Winterbottom problem for well-separated lattices
Nonlinear Analysis Vol. 231, p. 32, 2023

A. Pluda, M. Pozzetta:
Lojasiewicz-Simon inequalities for minimal networks: stability and convergence
Mathematische Annalen 2023

A. Pluda, M. Pozzetta:
Minimizing properties of networks via global and local calibrations
Bull. Lond. Math. Soc. 2023

L. Portinale:
Entropic regularised optimal transport in a noncommutative setting
(preprint) 2023

L. Portinale, F. Quattrocchi:
Discrete-to-continuum limits of optimal transport with linear growth on
  periodic graphs
(preprint) 2023

L. Portinale, S. Rademacher, D. Virosztek:
Limit theorems for empirical measures of interacting quantum systems in
  Wasserstein space
(preprint) 2023

M. Pozzetta:
Confined Willmore energy and the Area functional
Comm. Anal. Geom. 2023

M. Pozzetta:
Isoperimetry on manifolds with Ricci bounded below: overview of recent  results and methods
(Preprint) 2023

F. Prinari, A. C. Zagati:
On the sharp Makai inequality
(preprint) p. 23, 2023

B. Raita, A. Ruland, C. Tissot, A. Tribuzio:
On Scaling Properties for a Class of Two-Well Problems for Higher Order
  Homogeneous Linear Differential Operators
(preprint) 2023

R. Resende:
Lipschitz approximation for general almost area minimizing currents
(Submitted Paper) p. 24, 2023

F. Riva:
Energetic evolutions for linearly elastic plates with cohesive slip
Nonlinear Analysis: Real World Applications Vol. 74, N. 103934, 2023

F. Riva, G. Scilla, F. Solombrino:
Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems
(Preprint) 2023

L. Rizzi, G. Stefani:
Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries
J. Funct. Anal. Vol. 285, N. 9, p. Paper No. 110099, 2023

R. Rossi, G. Savaré:
Abstract Action Spaces and their topological and dynamic properties
(preprint) 2023

M. Ruf, T. Ruf:
Stochastic homogenization of degenerate integral functionals and their  Euler-Lagrange equations
J.  Ec. Polytech. Math. Vol. 10, p. 253-303, 2023

M. Ruf, C. I. Zeppieri:
Stochastic homogenization of degenerate integral functionals with linear growth
Calc. Var. Partial Differential Equations Vol. 62, N. 4, p. 36, 2023

A. Ruland, A. Tribuzio:
On Scaling Laws for Multi-Well Nucleation Problems without Gauge  Invariances
J. Nonlinear Sci. Vol. 33, N. 25, 2023

A. Ruland, A. Tribuzio:
On the Scaling of the Cubic-to-Tetragonal Phase Transformation with
  Displacement Boundary Conditions
(preprint) 2023

A. Ruland, A. Tribuzio:
On the energy scaling behaviour of singular perturbation models with prescribed Dirichlet data involving higher order laminates
ESAIM: COCV Vol. 29, N. 68, 2023

F. Santambrogio:
A course in the Calculus of Variations
(Book) 2023

M. Santilli:
Finite total curvature and soap bubbles with almost constant higher-order mean curvature
(Submitted Paper) 2023

M. Santilli, B. Schmidt:
A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions
Journal de Mathématiques Pures et Appliquées 2023

G. Savaré, G. E. Sodini:
A relaxation viewpoint to Unbalanced Optimal Transport: duality,
  optimality and Monge formulation
(preprint) 2023

R. Scala, G. Scianna:
On the $L^1$-relaxed area of graphs of $BV$ piecewise constant maps taking three values
(Preprint) 2023

L. Scardia, K. Zemas, C. I. Zeppieri:
Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations
(Submitted Paper) 2023

T. Schmidt:
Isoperimetric conditions, lower semicontinuity, and existence results
  for perimeter functionals with measure data
(Submitted Paper) 2023

T. Schmidt, J. H. Schütt:
The optimal Hölder exponent in Massaris regularity theorem
Calc. Var. Partial Differ. Equ. Vol. 62, 2023

G. Scilla, F. Solombrino, B. Stroffolini:
Integral representation and $\Gamma$-convergence for free-discontinuity problems with $p(\cdot)$-growth
Calculus of Variations and Partial Differential Equations Vol. 62, N. 213, 2023

G. Scilla, B. Stroffolini:
Partial regularity for steady double phase fluids
Math. Eng. Vol. 5, N. 5, 2023

F. Sk:
Characterization of fractional Sobolev--Poincaré and (localized)  Hardy inequalities
Journal of Geometric Analysis (Accepted Paper) p. 18, 2023

A. Skorobogatova:
Rectifiability of flat singular points for area-minimizing mod$(2Q)$ hypercurrents
(Preprint) p. 17, 2023

N. Soave, H. Tavares, A. Zilio:
Free boundary problems with long-range interactions: uniform Lipschitz estimates in the radius
Mathematische Annalen 2023

N. Soave, S. Terracini:
An anisotropic monotoncity formula, with applications to some segregation problems
Journal European Mathematical Society Vol. 25, p. 3727-3765, 2023

S. Stuvard:
New advances on the existence and regularity of Brakke's mean curvature flows
MATRIX Book Series (Proceedings) 2023

L. Tentarelli:
A general review on the NLS equation with point-concentrated  nonlinearity
Commun. Appl. Ind. Math. Vol. 14, N. 1, p. 62-84, 2023

A. Tyulenev:
Almost sharp descriptions of traces of Sobolev $W_{p}^{1}(\mathbb{R}^{n})$-spaces to arbitrary compact subsets of $\mathbb{R}^{n}$. The case $p \in (1,n]$
Ann.~Sc.~Norm.~Super.~Pisa Cl.~Sci.~(5) (Accepted Paper) Vol. 26, N. 1, 2023

A. Tyulenev:
Tracaes of Sobolev spaces to irregular subsets of metric measure spaces
Sbornik:Mathematics Vol. 214, N. 9, p. 1241-1320, 2023

A. Tyulenev:
Traces of Sobolev Spaces on Piecewise AhlforsDavid Regular Sets
Mathematical Notes Vol. 114, N. 3, p. 351--376, 2023

B. Velichkov:
Regularity of the one-phase free boundaries
Lecture Notes of the Unione Matematica Italiana, Springer (Lecture Notes) Vol. 28, 2023

S. Verzellesi:
Ruled Hypersurfaces in Higher Dimensional Heisenberg Groups
(Preprint) 2023

I. Y. Violo:
Fat triangles inscribed in arbitrary planar domains
(preprint) 2023

P. Wozniak:
Sobolev regularity for linear growth functionals acting on $\mathbb{C}$-elliptic operators
The Quarterly Journal of Mathematics Vol. 74, N. 1, p. 273299, 2023

P. Wozniak:
Stochastic homogenisation of nonconvex elliptic integrals
(Preprint) 2023

Y. Zhang, P. Zhao, H. Zhou:
THE OPTIMAL REINSURANCE-INVESTMENT PROBLEM CONSIDERING THE JOINT INTERESTS OF AN INSURER AND A REINSURER UNDER HARA UTILITY
(Acta Mathematica Scientia) Vol. 43, N. 1, p. 28, 2023