E. Acerbi, C. N. Chen, Y. S. Choi:
Stability of lamellar configurations in a nonlocal sharp interface model
SIAM J. Math. Anal. Vol. 54, p. 558--594, 2022

R. Adami, F. Boni, R. Carlone, L. Tentarelli:
Existence, structure, and robustness of ground states of a NLSE in 3D  with a point defect
J. Math. Phys. Vol. 63, N. 7, p. art. 071501, 16pp, 2022

R. Adami, F. Boni, R. Carlone, L. Tentarelli:
Ground states for the planar NLSE with a point defect as minimizers of  the constrained energy
Calc. Var. Partial Differential Equations Vol. 61, N. 5, p. art. 195, 32 pp, 2022

D. Addona, G. Menegatti, M. Miranda Jr:
Characterizations of Sobolev spaces on sublevel sets in abstract Wiener  spaces
2022

V. Agostiniani, C. Mantegazza, L. Mazzieri, F. Oronzio:
Riemannian Penrose Inequality via Nonlinear Potential Theory
(Submitted Paper) 2022

T. Alazard, M. Magliocca, N. Meunier:
Traveling wave solution for a coupled incompressible Darcy's free
  boundary problem with surface tension
(preprint) 2022

G. Alberti, A. Marchese:
On the structure of flat chains with finite mass
(Preprint) 2022

G. Alberti, A. Massaccesi, E. Stepanov:
On the geometric structure of currents tangent to smooth distributions
J. Diff. Geom. Vol. 122, N. 1, p. 1-33, 2022

G. Albi, S. Almi, M. Morandotti, F. Solombrino:
Mean-field selective optimal control via transient leadership
Applied Mathematics and Optimization Vol. 85, p. Art. n. 9, 2022

D. Albritton, E. Bruè, M. Colombo:
Gluing non-unique Navier-Stokes solutions
(Preprint) 2022

R. Alicandro, A. Braides, M. Cicalese, L. De Luca, A. Piatnitski:
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches
Arch. Ration. Mech. Anal. Vol. 243, p. 559-609, 2022

S. Almi, E. Davoli, M. Friedrich:
Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture
J. Math Pure Appl. (Accepted Paper) 2022

S. Almi, E. Tasso:
A new proof of compactness in G(S)BD
Advances in Calculus of Variations 2022

M. Amar, J. Matias, M. Morandotti, E. Zappale:
Periodic homogenization in the context of structured deformations
ZAMP Vol. 73, p. Art. n. 173, 2022

L. Ambrosio, S. Aziznejad, C. Brena, M. Unser:
Linear Inverse Problems with Hessian-Schatten Total Variation
(preprint) 2022

L. Ambrosio, S. Nicolussi Golo, F. Serra Cassano:
Classical flows of vector fields with exponential or sub-exponential
  summability
(preprint) 2022

L. Ambrosio, S. Nicolussi Golo, F. Serra Cassano:
Optimal $C^\infty$-approximation of functions with exponentially or  sub-exponentially integrable derivative
(preprint) 2022

L. Ambrozio, R. Buzano, A. Carlotto, B. Sharp:
Geometric convergence results for closed minimal surfaces via bubbling  analysis
Calculus of Variations and Partial Differential Equations Vol. 61, 2022

F. Ancona, A. Bressan, M. T. Chiri:
Soil searching by an artificial root
SIAM Journal on Applied Mathematics 2022

G. Antonelli:
Rectifiability in Carnot groups
(Ph.D. Thesis) p. 184, 2022

G. Antonelli, C. Brena, E. Pasqualetto:
Subgraphs of $\rm BV$ functions on $\rm RCD$ spaces
(preprint) 2022

G. Antonelli, C. Brena, E. Pasqualetto:
The Rank-One Theorem on $\mathrm{RCD}$ spaces
Analysis & PDE (Accepted Paper) 2022

G. Antonelli, E. Bruè, M. Fogagnolo, M. Pozzetta:
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth
Calculus of Variations and Partial Differential Equations 2022

G. Antonelli, M. Fogagnolo, M. Pozzetta:
The isoperimetric problem on Riemannian manifolds via Gromov-Hausdorff asymptotic analysis
Communications in Contemporary Mathematics 2022

G. Antonelli, A. Merlo:
On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion
Journal of Functional Analysis 2022

G. Antonelli, S. Nardulli, M. Pozzetta:
The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds
ESAIM: COCV 2022

G. Antonelli, E. Pasqualetto, M. Pozzetta:
Isoperimetric sets in spaces with lower bounds on the Ricci curvature
Nonlinear Analysis 2022

G. Antonelli, E. Pasqualetto, M. Pozzetta, D. Semola:
Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds
Annales Scientifiques de l'École Normale Supérieure (Accepted Paper) 2022

W. Ao, A. Jevnikar, W. Yang:
Blow up solutions for Sinh-Gordon equation with residual mass
Calc. Var. and PDEs (Accepted Paper) 2022

A. Arroyo-Rabasa:
A Lebesgue-Lusin property for gradients of first-order linear operators
(preprint) 2022

J. F. Babadjian, E. Bonhomme:
Discrete approximation of the Griffith functional by adaptive finite elements
(Submitted Paper) 2022

J. F. Babadjian, R. Llerena:
Mixed boundary conditions as limits of dissipative boundary conditions in dynamic perfect plasticity
Journal of Convex Analysis (Accepted Paper) p. 23, 2022

J. F. Babadjian, V. Millot, R. Rodiac:
A note on the one-dimensional critical points of the Ambrosio-Tortorelli functional
(Submitted Paper) 2022

J. F. Babadjian, V. Millot, R. Rodiac:
On the convergence of critical points of the Ambrosio-Tortorelli functional
(Submitted Paper) 2022

A. Bach, M. Cicalese, L. Kreutz, G. Orlando:
The antiferromagnetic XY model on the triangular lattice: topological  singularities
Indiana Univ. Mat. J. Vol. 71, p. 24112475, 2022

A. Bach, T. Esposito, R. Marziani, C. I. Zeppieri:
Gradient damage models for heterogeneous materials
Siam J. Math. Anal. (Accepted Paper) 2022

A. Bach, T. Esposito, R. Marziani, C. I. Zeppieri:
Interaction between oscillations and singular perturbations in a one-dimensional phase-field model
Research in Mathematics of Materials Science Vol. 31, p. 3--31, 2022

A. Bach, M. Ruf:
Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions
Calc. Var. Partial Differential Equations Vol. 61, p. art. 84, 2022

R. Badal, M. Cicalese:
Renormalized energy between fractional vortices with topologically induced free discontinuities on $2$-dimensional Riemannian manifolds
(Preprint) 2022

R. Badal, M. Friedrich, J. Seutter:
Existence of quasi-static crack evolution for atomistic systems
Forces in Mechanics Vol. 9, N. 100138, 2022

F. Bagagiolo, A. Festa, L. Marzufero:
Hybrid control for optimal visiting problems for a single player and for  a crowd
Nonlinear Differential Equations and Applications Vol. 29, N. 1, 2022

M. Bagnara, L. Gennaioli, G. M. Leccese, E. Luongo:
On the Hausdorff Measure of $\mathbb{R}^n$ with the Euclidean Topology
Real Analysis Exchange 2022

H. Bahmann, G. Friesecke, A. Gerolin, P. Gori-Giorgi, Timothy J. Daas, S. Vuckovic:
Density Functionals based on the mathematical structure of the
  strong-interaction limit of DFT
(preprint) 2022

H. Bahouri, D. Barilari, I. Gallagher, M. Léautaud:
Spectral summability for the quartic oscillator with applications to the Engel group
Journal of Spectral Theory (Accepted Paper) p. 49, 2022

A. Baldi, M. C. Tesi, F. Tripaldi:
Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry
Advanced Nonlinear Studies (Accepted Paper) Vol. 22, N. 1, p. 484-516, 2022

J. M. Ball, G. Canevari, B. Stroffolini:
A free discontinuity model for smectic thin films
Liquid Crystals (Accepted Paper) 2022

M. Bardi, A. Goffi:
Liouville results for fully nonlinear equations modeled on Hörmander vector fields: I. The Heisenberg group
Mathematische Annalen Vol. 383, p. 171-201, 2022

M. Bardi, H. Kouhkouh:
Deep Relaxation of Controlled Stochastic Gradient Descent via Singular
  Perturbations
(preprint) 2022

M. Bardi, H. Kouhkouh:
Singular perturbations in stochastic optimal control with unbounded data
ESAIM Control Optim. Calc. Var. (Accepted Paper) 2022

D. Barilari, U. Boscain, D. Cannarsa:
On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds
ESAIM: Control, Optimisation and Calculus of Variations Vol. 28, N. 9, p. 24, 2022

D. Barilari, K. Habermann:
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold
Nonlinear Differential Equations and Applications NoDEA (Accepted Paper) p. 24, 2022

A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen, E. Zappale:
The variational modeling of hierarchical structured deformations
J. Elast. (Accepted Paper) 2022

D. Bartolucci, A. Jevnikar:
On the uniqueness and monotonicity of solutions of free boundary problems
J. Diff. Eq. (Accepted Paper) 2022

M. Basok, D. Cherkashin, Y. Teplitskaya:
Inverse maximal distance minimizer problem in a finite setup
(preprint) 2022

L. Battaglia, A. Jevnikar, Z. A. Wang, W. Yang:
Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
Ann. Mat. Pura Appl. (Accepted Paper) 2022

F. Baudoin, E. Grong, G. Molino, L. Rizzi:
H-type foliations
Differential Geometry and its Applications Vol. 85, 2022

N. Bazarra, M. Colturato, J. R. Fernandez, G. Gilioli, M. G. Naso, A. Simonetto:
Analysis of a mathematical model arising in plant disease epidemiology
App. Math. Opt. Vol. 85, N. 19, p. 28, 2022

G. Bellettini, A. Betti, M. Paolini:
A free boundary singular transport equation as a formal limit of a discrete dynamical system
(Submitted Paper) 2022

G. Bellettini, S. Carano, R. Scala:
The relaxed area of $S^1$-valued singular maps in the strict $BV$-convergence
ESAIM: Control, Optimization and Calculus of Variations Vol. 28, N. 56, p. 38, 2022

A. Belotto da Silva, A. Figalli, A. Parusiski, L. Rifford:
Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3
Invent. Math. 2022

L. Benatti, M. Fogagnolo, L. Mazzieri:
On the Isoperimetric Riemannian Penrose Inequality
(preprint) 2022

L. Benatti, M. Fogagnolo, L. Mazzieri:
The asymptotic behaviour of $p$-capacitary potentials in Asymptotically  Conical manifolds
Mathematische Annalen 2022

V. Benci, D. Corona, S. Nardulli, L. E. Osorio Acevedo, P. Piccione:
Lusternik-Schnirelman and Morse theory for the Van der
  Waals-Cahn-Hilliard equation with volume constraint
Nonlinear Analysis p. 30, 2022

L. Benini, G. P. Leonardi, M. Spallanzani:
Training Quantised Neural Networks with STE Variants: the Additive Noise  Annealing Algorithm
IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) (Proceedings) 2022

C. Bernardini:
Existence and asymptotic behavior of non-normal conformal metrics on  $\mathbb{R}^4$ with sign-changing $Q$-curvature
Communications in Contemporary Mathematics 2022

C. Bernardini:
Mass concentration for Ergodic Choquard Mean-Field Games
ESAIM: COCV (Accepted Paper) 2022

I. Beschastnyi:
Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds
(Preprint) 2022

K. Bessas:
Fractional total variation denoising model with $L^1$ fidelity
Nonlinear Analysis Vol. 222, 2022

K. Bessas, G. Stefani:
Non-local $BV$ functions and a denoising model with $L^1$ fidelity
Adv. Calc. Var. (Accepted Paper) 2022

G. Bevilacqua:
Symmetry break in the eight bubble compaction
Mathematics in Engineering 2022

G. Bevilacqua, L. Lussardi, A. Marzocchi:
Variational analysis of inextensible elastic curves
Proc. Royal Soc. A Vol. 478, p. 20210741, 2022

F. Bianchi, L. Brasco:
The fractional Makai-Hayman inequality
Ann. Mat. Pura Appl. (Accepted Paper) p. 30, 2022

F. Bianchi, L. Brasco, F. Sk, A. C. Zagati:
A note on the supersolution method for Hardy's inequality
Rev. Mat. Complut. (Accepted Paper) p. 14, 2022

S. Bianchini, N. De Nitti:
Differentiability in measure of the flow associated with a nearly incompressible BV vector field
Archive for Ratonal Mechanics and Analysis 2022

U. Bindini, G. Bouchitté:
Relaxed many-body optimal transport and related asymptotics
(preprint) 2022

H. Bloomfield-Gadêlha, M. Morandotti, M. Zoppello:
Controlling non-controllable scallops
Meccanica (Accepted Paper) 2022

F. Boarotto, L. Nalon, D. Vittone:
The Sard problem in step 2 and in filiform Carnot groups
(Preprint) 2022

B. Bogosel, D. Bucur:
On the Polygonal Faber-Krahn Inequality
(Preprint) 2022

M. Bonacini, R. Cristoferi:
Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity
Journal of Nonlinear Science Vol. 32, N. 93, 2022

M. Bonacini, R. Cristoferi, I. Topaloglu:
Riesz-type inequalities and overdetermined problems for triangles and   quadrilaterals
J. Geom. Anal. Vol. 32, 2022

M. Bonafini, V. P. C. Le:
Weak solutions for nonlinear waves in adhesive phenomena
Annali dell' Università di Ferrara p. 223233, 2022

M. Bonafini, O. Minevich, B. Schmitzer:
Hellinger-Kantorovich barycenter between Dirac measures
(preprint) 2022

G. Bonfanti, M. Colturato, R. Rossi:
Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact
Nonlinear Anal. Real World Appl. Vol. 66, p. 64, 2022

P. Bonicatto, G. Del Nin, E. Pasqualetto:
Decomposition of integral metric currents
J. Funct. Anal. Vol. 282, N. 7, 2022

P. Bonicatto, G. Del Nin, F. Rindler:
Transport of currents and geometric Rademacher-type theorems
(preprint) 2022

W. Borrelli:
On the continuum limit for a model of binary waveguide arrays
NoDEA Nonlinear Differential Equations Appl. 2022

W. Borrelli, P. Briet, D. Krejcirik, T. Ourmieres-Bonafos:
Spectral properties of relativistic quantum waveguides
Ann. Henri Poincaré 2022

W. Borrelli, R. Carlone, L. Tentarelli:
Complete ionization for a non-autonomous point interaction model in d=2
Comm. Math. Phys. Vol. 395, N. 2, p. 963-1005, 2022

W. Borrelli, S. J. N. Mosconi, M. Squassina:
Uniqueness of the critical point for solutions to some p-Laplace equations in the plane
Rendiconti Lincei - Matematica e Applicazioni p. 20, 2022

S. Borza:
Distortion Coefficients of the $\alpha$-Grushin Plane
The Journal of Geometric Analysis Vol. 32, N. Issue 3, p. Article 78, 2022

D. Bourne, C. Cotter, M. Cullen, C. Egan, B. Pelloni, S. Roper, M. Wilkinson:
A new implementation of the geometric method for solving the Eady slice equations
Journal of Computational Physics Vol. 469, p. 111542, 2022

D. Bourne, C. Egan, B. Pelloni, M. Wilkinson:
Semi-discrete optimal transport methods for the semi-geostrophic equations
Calculus of Variations and Partial Differential Equations Vol. 61, 2022

P. Bousquet, L. Brasco, C. Leone:
Singular orthotropic functionals with nonstandard growth conditions
Rev. Mat. Iberoam. (Accepted Paper) p. 45, 2022

A. Braides, A. Piatnitski:
Homogenization of ferromagnetic energies on Poisson random sets  in the plane
Arch. Rational Mech. Anal. Vol. 243, p. 433-458, 2022

A. Braides, A. Piatnitski:
Homogenization of quadratic convolution energies in periodically perforated domains
Adv. Calc. Var. Vol. 15, p. 351-368, 2022

L. Brasco, M. M. González, M. Ispizua:
A Steklov version of the torsional rigidity
Commun. Contemp. Math (Accepted Paper) p. 36, 2022

L. Brasco, E. Lindgren:
Uniqueness of extremals for some sharp Poincaré-Sobolev constants
Trans. Amer. Math. Soc. (Accepted Paper) p. 39, 2022

L. Brasco, F. Prinari, A. C. Zagati:
A comparison principle for the Lane-Emden equation and applications to  geometric estimates
Nonlinear Anal. (Accepted Paper) p. 43, 2022

A. Bravo-Doddoli, E. Le Donne, N. Paddeu:
Sympletic reduction of the sub-Riemannian geodesic flow for metabelian  nilpotent groups
(preprint) 2022

K. Bredies, M. Carioni, S. Fanzon:
A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients
Communications in Partial Differential Equations 2022

K. Bredies, M. Carioni, S. Fanzon, F. Romero:
A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization
Foundations of Computational Mathematics 2022

K. Bredies, M. Carioni, M. Holler:
Regularization Graphs - A unified framework for variational regularization of inverse problems
Inverse Problems 2022

C. Brena, N. Gigli:
Calculus and fine properties of functions of bounded variation on RCD
  spaces
(preprint) 2022

C. Brena, N. Gigli:
Local vector measures
(preprint) 2022

C. Brena, E. Pasqualetto, A. Pinamonti:
Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time
  behaviour of the heat kernel
(preprint) 2022

A. Bressan, M. T. Chiri:
On the Regularity of Optimal Dynamic Blocking Strategies
Calc. Var. Partial Diff. Equations Vol. 61, N. 36, 2022

A. Bressan, M. T. Chiri, N. Salehi :
On the Optimal Control of Propagation Fronts
Math. Models & Methods in the Applied Sciences 2022

L. Briani, G. Buttazzo, S. Guarino Lo Bianco:
On a reverse Kohler-Jobin inequality
(Submitted Paper) 2022

E. Bruè, M. Calzi, G. E. Comi, G. Stefani:
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II
C. R. Math. Vol. 360, p. 589-626, 2022

E. Bruè, M. Colombo, G. Crippa, C. De Lellis, M. Sorella:
Onsager critical solutions of the forced Navier-Stokes equations
Communications on Pure and Applied Analysis 2022

E. Bruè, M. Coti Zelati, E. Marconi:
Enhanced dissipation for two-dimensional Hamiltonian flows
(Preprint) 2022

E. Bruè, C. De Lellis:
Anomalous dissipation for the forced 3D Navier-Stokes equations
Comm. Math. Phys. 2022

E. Bruè, A. Mondino, D. Semola:
The metric measure boundary of spaces with Ricci curvature bounded below
GAFA p. 32, 2022

D. Bucur, E. Martinet, M. Nahon:
Sharp inequalities for Neumann eigenvalues on the sphere
(Submitted Paper) 2022

D. Bucur, E. Martinet, E. Oudet:
Maximization of Neumann eigenvalues
(Submitted Paper) 2022

V. Buffa:
Time-smoothing for parabolic variational problems in metric measure spaces
Annali dell'Università di Ferrara 2022

V. Buffa, M. Collins, C. Pacchiano Camacho:
Existence of parabolic minimizers to the total variation flow on metric measure spaces
Manuscripta Math. 2022

V. Buffa, J. Kinnunen, C. Pacchiano Camacho:
Variational solutions to the total variation flow on metric measure  spaces
Nonlinear Analysis 2022

L. Bungert, Y. Korolev:
Eigenvalue Problems in $\mathrm{L}^\infty$: Optimality Conditions,  Duality, and Relations with Optimal Transport
Communications of the American Mathematical Society Vol. 2, N. 08, p. 345-373, 2022

L. Bungert, K. Stinson:
Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning
(Preprint) 2022

G. Buttazzo:
On the continuity of the Continuous Steiner Symmetrization
(Preprint) 2022

G. Buttazzo, G. Carlier, K. Eichinger:
Wasserstein interpolation with constraints and application to a parking problem
(Submitted Paper) 2022

G. Buttazzo, M. S. Gelli, D. Lui:
Mass optimization problem with convex cost
SIAM J.  Math. Anal. 2022

G. Buttazzo, F. P. Maiale, D. Mazzoleni, G. Tortone, B. Velichkov:
Regularity of the optimal sets for a class of integral shape functionals
(Preprint) 2022

M. Buzancic, E. Davoli, I. Veli:
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
Calc. Var. PDEs (Accepted Paper) 2022

R. Buzano, G. Di Matteo:
A Local Singularity Analysis for the Ricci Flow and its Applications to  Ricci Flows with Bounded Scalar Curvature
Calculus of Variations and Partial Differential Equations Vol. 61, 2022

F. Cagnetti, G. Dal Maso, L. Scardia, C. I. Zeppieri:
A global method for deterministic and stochastic homogenisation in BV
Ann. PDE Vol. 8, N. 1, p. Paper No. 8, 2022

G. Caldini:
Well-posedness properties of geometric variational problems: existence, regularity and uniqueness results
(Degree Thesis) 2022

G. Caldini, A. Marchese, S. Steinbrüchel:
Generic uniqueness of optimal transportation networks
Calc. Var. PDE (Accepted Paper) 2022

V. Calvez, H. Hivert, H. Yoldas:
Concentration in Lotka-Volterra parabolic equations: an
  asymptotic-preserving scheme
(preprint) 2022

D. Campbell, A. Kauranen, E. Radici:
Classification of area-strict limits of planar BV homeomorphisms
(Submitted Paper) 2022

D. Campbell, A. Kauranen, E. Radici:
Minimal Extension for the $$-Manhattan norm
(Submitted Paper) 2022

G. Canevari, Federico Luigi Dipasquale, G. Orlandi:
The Yang-Mills-Higgs functional on complex line bundles:
  $$-convergence and the London equation
(preprint) 2022

M. Capolli, A. Pinamonti, G. Speight:
Maximal Directional Derivatives in Laakso Space
Communications in Contemporary Mathematics (Accepted Paper) 2022

D. Carazzato, N. Fusco, A. Pratelli:
Minimality of balls in the small volume regime for a general Gamow type functional
Adv. Calc. Var. 2022

D. Carazzato, A. Pratelli:
On the existence and boundedness of minimizing measures for a general form of non-local energies
(Preprint) 2022

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
A quantitative dimension free isoperimetric inequality for the Fractional Gaussian Perimeter
Communications in Analysis and Geometry (Accepted Paper) p. 20, 2022

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Asymptotics of the $s$-fractional Gaussian perimeter as $s\to 0^+$
Fractional Calculus and Applied Analysis p. 13, 2022

G. Carron, I. Mondello, D. Tewodrose:
Limits of manifolds with a Kato bound on the Ricci curvature. II.
(Submitted Paper) 2022

G. Carron, D. Tewodrose:
A rigidity result for metric measure spaces with Euclidean heat kernel
Journal de l'École Polytechnique --- Mathématiques Vol. 9, p. 101-154, 2022

D. Castorina, G. Catino, C. Mantegazza:
A Triviality Result for Semilinear Parabolic Equations
Math. Engineering Vol. 4, N. 1, p. Paper n.002, 15 pp., 2022

G. Catino, D. Dameno, P. Mastrolia:
Some canonical metrics via Aubin's local deformations
(Submitted Paper) 2022

G. Catino, P. Mastrolia, D. D. Monticelli:
Rigidity of Critical Metrics for Quadratic Curvature Functionals
J. Math. Pures Appl. (Accepted Paper) 2022

G. Catino, P. Mastrolia, D. D. Monticelli, F. Punzo:
Four dimensional closed manifolds admit a weak harmonic Weyl metric
Comm. Cont. Math. (Accepted Paper) 2022

G. Catino, D. D. Monticelli:
Semilinear elliptic equations on manifolds with nonnegative Ricci curvature
J. Eur. Math. Soc. (Accepted Paper) 2022

G. Cavagnari, G. Savaré, G. E. Sodini:
Dissipative probability vector fields and generation of evolution
  semigroups in Wasserstein spaces
Probability Theory and Related Fields 2022

F. Cavalletti, A. Mondino:
A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
General Relativity and Gravitation 2022

A. Cesaroni, H. Kröner, M. Novaga:
Graphical translators for anisotropic and crystalline mean curvature flow
J. Math. Anal. Appl. Vol. 514, N. 2, p. Paper No. 126314, 2022

A. Cesaroni, M. Novaga:
$K$ mean-convex and $K$-outward minimizing sets
Interfaces Free Bound. Vol. 24, N. 1, p. 35-61, 2022

A. Chambolle, V. Crismale:
A general compactness theorem in $G(S)BD$
Indiana Univ. Math. J. (Accepted Paper) 2022

A. Chambolle, D. De Gennaro, M. Morini:
Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature  Flows
Adv. Calc. Var 2022

A. Chambolle, M. Novaga:
Anisotropic and crystalline mean curvature flow of mean-convex sets
Ann. Scuola Normale Sup. Pisa Vol. XXIII, N. 2, p. 623-643, 2022

B. Chen - X. Zhao - W. Wang - P. Zhao:
The Lp Minkowski problem for q-torsional rigidity
Advances in Calculus of Variations (Accepted paper) 2022

C. N. Chen, Y. S. Choi, N. Fusco:
$\Gamma$-limit of 2D traveling waves in the FitzHugh-Nagumo system
(Submitted Paper) p. 61, 2022

B. Chen, J. Cui, P. Zhao:
INVERSE GAUSS CURVATURE FLOWS AND ORLICZ MINKOWSKI PROBLEM
(Analysis and Geometry in Metric Spaces) Vol. 10, 2022

D. Cherkashin, Y. Teplitskaya:
An overview of maximal distance minimizers problem
(preprint) 2022

F. Cianci:
Dynamic crack growth in viscoelastic materials with memory
Milan Journal of Mathematics 2022

M. Cicalese, M. Forster, G. Orlando:
Variational analysis of the $J_1$-$J_2$-$J_3$ model: a non-linear lattice version of the Aviles-Giga functional
Arch. Ration. Mech. anal. Vol. 245, N. 2, p. 11351196, 2022

M. Cicalese, G. Orlando, M. Ruf:
Emergence of concentration effects in the variational analysis of the N-clock model
Comm. Pure Appl. Math. Vol. 75, N. 10, p. 22792342, 2022

M. Cicalese, G. Orlando, M. Ruf:
The N-clock model: variational analysis for fast and slow divergence rates of N
Archive for Rational Mechanics and Analysis Vol. 245, N. 2, p. 11351196, 2022

E. Cinti, F. Colasuonno:
Existence and non-existence results for a semilinear fractional Neumann problem
(Submitted Paper) 2022

E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra:
Sharp quantitative stability for isoperimtric inequalities with homogeneous weights
Trans. Amer. Math. Soc. 2022

M. Cirant, A. Goffi, T. Leonori:
Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms
(Submitted Paper) 2022

G. Citti, S. Mukherjee:
Regularity of quasi-linear equations with Hormander vector fields of step two
Advances in Mathematics p. 46, 2022

G. M. Coclite, J. M. Coron, N. De Nitti, A. Keimer, L. Pflug:
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 2022

G. M. Coclite, N. De Nitti, A. Keimer, L. Pflug:
On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
Zeitschrift für Angewandte Mathematik und Physik 2022

M. Colombo, G. Crippa, E. Marconi, L. V. Spinolo:
Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate
(Preprint) 2022

M. Colombo, A. De Rosa, A. Marchese, P. Pegon, A. Prouff:
Stability of optimal traffic plans in the irrigation problem
Discrete and Continuous Dynamical Systems Vol. 2, N. 4, p. 1647-1667, 2022

M. Colombo, R. Tione:
Non-classical solutions of the $p$-Laplace equation
JEMS (Accepted Paper) 2022

G. E. Comi, D. Spector, G. Stefani:
The fractional variation and the precise representative of $BV^{\alpha,p}$ functions
Fract. Calc. Appl. Anal. Vol. 25, p. 520-558, 2022

G. E. Comi, G. Stefani:
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I
Rev. Mat. Complut. 2022

G. E. Comi, G. Stefani:
Leibniz rules and Gauss-Green formulas in distributional fractional spaces
J. Math. Anal. Appl. Vol. 514, N. 2, p. Paper No. 126312, 2022

S. Conti, M. Focardi, F. Iurlano:
Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy
Archive for Rational Mechanics and Analysis Vol. 248, N. 21, p. 1-60, 2022

S. Conti, A. Garroni, R. Marziani:
Line-tension limits for line singularities and application to the mixed-growth case
Calc. Var. PDE (Accepted Paper) p. 65, 2022

S. Conti, A. Garroni, S. Müller:
Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model
JEMS (Accepted Paper) 2022

S. Conti, B. Zwicknagl:
The tapering length of needles in martensite/martensite macrotwins
(Preprint) 2022

D. Corona, A. Della Corte:
The critical exponent functions
Comptes Rendus. Mathématique Vol. 360, p. 315--332, 2022

D. Corona, F. Giannoni:
Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics
Advances in Nonlinear Analysis Vol. 11, N. 1, p. 1223--1248, 2022

D. Corro, Juan Carlos Fernández, R. Perales:
Yamabe problem in the presence of singular Riemannian Foliations
(preprint) 2022

G. Crasta, V. De Cicco:
On the variational nature of the Anzellotti pairing
(Preprint) 2022

V. Crismale:
Energetic solutions for the coupling of associative plasticity with damage in geomaterials
Nonlinear Analysis Vol. 222, N. 112957, 2022

R. Cristoferi, I. Fonseca, L. Ganedi:
Homogenization and phase separation with space dependent wells - The subcritical case
(Submitted Paper) 2022

L. D'Elia:
$\Gamma$-convergence of quadratic functionals with non uniformly elliptic conductivity matrices
Netw. Heterog. Media Vol. 128, 2022

G. Dal Maso, R. Toader:
A new space of generalised functions with bounded variation motivated by fracture mechanics
NoDEA Nonlinear Differential Equations Appl. Vol. 29, N. Paper No. 63., 2022

G. Dal Maso, R. Toader:
On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials
Nonlinear Anal. Vol. 214, N. Paper No. 112539, 2022

S. Daneri, E. Radici, E. Runa:
Deterministic particle approximation of aggregation diffusion equations
  with nonlinear mobility
(preprint) 2022

S. Daneri, E. Radici, E. Runa:
Deterministic particle approximation of aggregation-diffusion equations on unbounded domains
Journal of Differential Equations 2022

A. Davini, E. Kosygina:
Stochastic homogenization of a class of nonconvex viscous HJ equations  in one space dimension
J. Differential Equations Vol. 333, p. 231267, 2022

E. Davoli, M. Friedrich:
Two-well linearization for solid-solid phase transitions
JEMS (Accepted Paper) 2022

E. Davoli, C. Gavioli, V. Pagliari:
Homogenization of high-contrast media in finite-strain elastoplasticity
(Submitted Paper) 2022

E. Davoli, M. Kruzik, V. Pagliari:
Homogenization of high-contrast composites under differential constraints
Adv. Calc. Var. (Accepted Paper) 2022

E. Davoli, I. Mazari, U. Stefanelli:
Spectral optimisation of inhomogeneous plates
SIAM Journal on Control and Optimization (SICON) (Accepted Paper) 2022

F. Dayrens, S. Masnou, M. Novaga, M. Pozzetta:
Connected perimeter of planar sets
Adv. Calc. Var. Vol. 15, N. 2, p. 213-234, 2022

C. De Filippis, M. Piccinini:
Borderline global regularity for nonuniformly elliptic systems
Int. Math. Res. Not. IMRN 2022

C. De Filippis, B. Stroffolini:
Singular multiple integrals and nonlinear potentials
Journal of Functional Analysis (Accepted Paper) p. online first, 2022

C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard:
Fine structure of the singular set of area minimizing hypersurfaces modulo $p$
(Submitted Paper) 2022

C. De Lellis, J. Hirsch, A. Marchese, S. Stuvard:
Area minimizing currents mod $2Q$: linear regularity theory
Comm. Pure Appl. Math. Vol. 75, N. 1, p. 83-127, 2022

G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello:
Gravity from thermodynamics: optimal transport and negative effective dimensions
SciPost Physics (Accepted Paper) 2022

L. De Luca, A. Kubin, M. Ponsiglione:
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows
Nonlinear Anal. Vol. 214, 2022

L. De Luca, A. Ninno, M. Ponsiglione:
Vectorial crystallization problems  and collective behavior
J. Math. Biol. Vol. 84, 2022

L. De Luca, M. Ponsiglione, E. Spadaro:
Two slope functions minimizing fractional seminorms and applications to misfit dislocations
(Preprint) 2022

L. De Luca, R. Scala, N. Van Goethem:
A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation
Indiana Univ. Math. J. (Accepted Paper) 2022

N. De Nitti, J. Fischer:
Sharp criteria for the waiting time phenomenon in solutions to the  thin-film equation
Communications in Partial Differential Equations 2022

N. De Nitti, F. Hounkpe, S. Schulz:
On Liouville-type theorems for the 2D stationary MHD equations
Nonlinearity 2022

N. De Nitti, T. König:
Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion
(Submitted Paper) 2022

N. De Nitti, S. Sakaguchi:
The stationary critical points of the fractional heat flow
(Submitted Paper) 2022

N. De Nitti, R. Taranets:
Interface propagation properties for a fractional thin-film equation
(Submitted Paper) 2022

N. De Nitti, E. Zuazua:
On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods
Vietnam Journal of Mathematics (Accepted Paper) 2022

G. De Philippis, N. Fusco, M. Morini:
Regularity of capillarity droplets with obstacle
(Submitted Paper) 2022

G. De Philippis, A. Marchese, A. Merlo, A. Pinamonti, F. Rindler:
On the converse of Pansu's Theorem
(Submitted Paper) 2022

G. De Philippis, A. Pigati:
Non-degenerate minimal submanifolds as energy concentration sets: a
  variational approach
(preprint) 2022

A. De Rosa, A. Khajavirad:
Explicit convex hull description of bivariate quadratic sets with
  indicator variables
(preprint) 2022

A. De Rosa, A. Khajavirad:
The ratio-cut polytope and K-means clustering
SIAM J. Optim. 2022

A. De Rosa, L. Lussardi:
On the anisotropic Kirchhoff-Plateau problem
Math. Eng. 2022

A. De Rosa, R. Tione:
Regularity for graphs with bounded anisotropic mean curvature
Inventiones Mathematicae 2022

L. De Rosa, R. Tione:
Fine properties of symmetric and positive matrix fields with bounded divergence
Adv. in Math. 2022

G. Del Nin, M. Petrache:
Continuum limits of discrete isoperimetric problems and Wulff shapes in  lattices and quasicrystal tilings
Calc. Var. PDE (Accepted Paper) 2022

S. Della Corte, A. Diana, C. Mantegazza:
Global Existence and Stability for the Modified Mullins-Sekerka and Surface Diffusion Flow
Math. Engineering Vol. 4, N. 6, p. Paper n.054, 104 pp., 2022

F. Della Pietra, G. Piscitelli:
Sharp estimates for the first Robin eigenvalue of nonlinear elliptic
  operators
(preprint) 2022

D. Di Donato:
A note about Intrinsically Lipschitz constants
(preprint) 2022

D. Di Donato:
Ahlfors-David regularity of intrinsically quasi-symmetric sections in  metric spaces
(preprint) 2022

D. Di Donato:
Intrinsic Cheeger energy for the intrinsically Lipschitz constants
(preprint) 2022

D. Di Donato:
Intrinsic Lipschitz sections of no-linear quotient maps
(preprint) 2022

D. Di Donato:
Intrinsically Hölder sections in metric spaces
(preprint) 2022

D. Di Donato:
Intrinsically Lipschitz graphs on semidirect products of groups
(preprint) 2022

D. Di Donato:
Intrinsically quasi-isometric sections in metric spaces
(preprint) 2022

D. Di Donato:
Non-symmetric intrinsic Hopf-Lax semigroup vs. intrinsic Lagrangian
(preprint) 2022

D. Di Donato:
The intrinsic Hopf-Lax semigroup vs. The intrinsic slope
(preprint) 2022

D. Di Donato, E. Le Donne:
Intrinsically Lipschitz sections and applications to metric groups
(preprint) 2022

G. Di Fratta, V. Slastikov:
Curved thin-film limits of chiral Dirichlet energies
Nonlinear Analysis 2022

S. Di Marino, M. Lewin, L. Nenna:
Grand-Canonical Optimal Transport
(Preprint) 2022

J. Dolbeault, A. Zuniga:
Symmetry breaking and weighted Euclidean logarithmic Sobolev
  inequalities
(preprint) 2022

E. Dolera, S. Favaro, E. Mainini:
Strong posterior contraction rates via Wasserstein dynamics
(Preprint) 2022

S. Don, L. Lussardi, A. Pinamonti, G. Treu:
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
Nonlinear Analysis Vol. 216, p. 27, 2022

S. Dovetta, L. Tentarelli:
Symmetry breaking in two-dimensional square grids: persistence and  failure of the dimensional crossover
J. Math. Pures Appl. Vol. 160, p. 99-157, 2022

R. Ducasse, G. Mazanti, F. Santambrogio:
Second order local minimal-time Mean Field Games
Nonlinear Differential Equations and Applications NoDEA (Accepted Paper) 2022

R. Ducasse, F. Santambrogio, H. Yoldas:
A cross-diffusion system obtained via (convex) relaxation in the JKO
  scheme
Calc. Var. PDEs (Accepted Paper) 2022

R. Durastanti, L. Giacomelli:
Spreading equilibria under mildly singular potentials: pancakes versus  droplets
Journal of Nonlinear Science Vol. 32, N. 71, 2022

S. Dweik:
BV estimates on the transport density with Dirichlet region on the boundary
Calculus of Variations and Partial Differential Equations (Accepted Paper) 2022

N. Edelen, L. Spolaor, B. Velichkov:
A strong maximum principle for minimizers of the one-phase Bernoulli problem
Indiana Math. J. (Accepted Paper) 2022

H. Ennaji, Q. Mérigot, L. Nenna, B. Pass:
Robust risk management via multi-marginal optimal transport
(Preprint) 2022

A. Enrique Muñoz Flores, S. Nardulli:
Generalized compactness for finite perimeter sets and applications to the isoperimetric problem
Journal of Dynamical and Control Systems Vol. 28, p. 5969, 2022

M. Erbar, C. Rigoni, K. T. Sturm, L. Tamanini:
Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
J. Math. Pures Appl. 2022

S. Eriksson-Bique, C. Gartland, E. Le Donne, L. Naples, S. Nicolussi-Golo:
Nilpotent groups and biLipschitz embeddings into $L^1$
(Submitted Paper) 2022

F. Essebei, E. Pasqualetto:
Variational problems concerning sub-Finsler metrics in Carnot groups
ESAIM: Control, Optimisation and Calculus of Variations p. 31, 2022

F. Essebei, A. Pinamonti, S. Verzellesi:
Integral representation of local functionals depending on vector fields
Advances in Calculus of Variations 2022

F. Essebei, S. Verzellesi:
$\Gamma$-Compactness of Some Classes of Integral Functionals depending on Vector Fields
Nonlinear Analysis 2022

N. Evseev:
Brownian path preserving mappings on the Heisenberg group
(preprint) 2022

S. Fagioli, A. Kaufmann, E. Radici:
Optimal control problems of nonlocal interaction equations
(preprint) 2022

F. Farroni, G. Scilla, F. Solombrino:
On some non-local approximation of nonisotropic Griffith-type functionals
Math. Eng. Vol. 4, N. 4, p. 1-22, 2022

L. Ferreri, G. Verzini:
Asymptotic properties of an optimal principal eigenvalue with spherical  weight and Dirichlet boundary conditions
Nonlinear Analysis 2022

A. Figalli, C. Kehle:
On the prescribed negative Gauss curvature problem for graphs
Discrete Contin. Dyn. Syst. (Accepted Paper) 2022

A. Figalli, S. Kim, H. Shahgholian:
Lipschitz Regularity in Vectorial Linear Transmission Problems
Nonlinear Anal. 2022

A. Figalli, Y. R. Y. Zhang:
Sharp gradient stability for the Sobolev inequality
Duke Mathematical Journal 2022

A. Figalli, Y. R. Y. Zhang:
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations
Comm. Pure Appl. Math. (Accepted Paper) 2022

V. Fischer, F. Tripaldi:
An alternative construction of the Rumin complex on homogeneous
  nilpotent Lie groups
(preprint) 2022

F. Fleißner:
Minimal solutions to generalized $\Lambda$-semiflows and gradient flows in  metric spaces
Annali di Matematica Pura ed Applicata 2022

M. Fogagnolo, A. Malchiodi, L. Mazzieri:
A note on the critical Laplace Equation and Ricci curvature
Journal of Geometric Analysis 2022

M. Fogagnolo, L. Mazzieri:
Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds
Journal of Functional Analysis (Accepted Paper) 2022

G. Foghem:
Nonlocal complement value problem for a global in time parabolic equation
Journal of Elliptic and Parabolic Equations Vol. 8, p. 16, 2022

G. Foghem, M. Kassmann:
A general framework for nonlocal Neumann problems
(preprint) 2022

D. Forkert, J. Maas, L. Portinale:
Evolutionary $$-convergence of entropic gradient flow structures  for Fokker-Planck equations in multiple dimensions
SIAM Journal on Mathematical Analysis (SIMA) 2022

S. Fornaro, G. Metafune, D. Pallara, R. Schnaubelt:
Multi-dimensional degenerate operators in $L^p$  spaces
Comm. Pure Appl. Anal. Vol. 21, p. 2115-2145, 2022

M. Fornasier, G. Savaré, G. E. Sodini:
Density of subalgebras of Lipschitz functions in metric Sobolev spaces  and applications to Wasserstein Sobolev spaces
Journal of Functional Analysis Vol. 285, N. 11, 2022

G. Franzina, D. Licheri:
A non-local semilinear eigenvalue problem
(Preprint) 2022

M. Friedrich, L. Kreutz:
A proof of finite crystallization via stratification
(Preprint) N. 17, 2022

M. Friedrich, L. Kreutz, K. Zemas:
From atomistic systems to linearized continuum models for elastic materials with voids
Nonlinearity Vol. 36, N. 1, p. 50, 2022

G. Friesecke, A. Gerolin, P. Gori-Giorgi:
The strong-interaction limit of density functional theory
(Preprint) 2022

I. Ftouhi:
Optimal description of BlaschkeSantaló diagrams via numerical shape optimization
(Preprint) 2022

I. Ftouhi, A. L. Masiello, G. Paoli:
Sharp inequalities involving the Cheeger constant of planar convex sets
(Preprint) 2022

N. Fusco, D. A. La Manna:
Some weighted isoperimetric inequalities in quantitative form
(preprint) 2022

W. Gangbo, A. R. Mészáros, C. Mou, J. Zhang:
Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity
Ann. Probab. (Accepted Paper) 2022

C. Gasparetto:
Epsilon-regularity for the Brakke flow with boundary
Analysis & PDE (Accepted Paper) 2022

L. Gennaioli, N. Gigli:
A note about charts built by Eriksson-Bique and Soultanis on metric  measure spaces
Canadian Mathematical Bulletin 2022

N. Gigli:
On the regularity of harmonic maps from ${\sf RCD}(K,N)$ to ${\sf
  CAT}(0)$ spaces and related results
(preprint) 2022

N. Gigli, D. Lui, E. Pasqualetto:
Duals and pullbacks of normed modules
(preprint) 2022

N. Gigli, F. Nobili:
A first-order condition for the independence on $p$ of weak gradients
J. Funct. Anal. 2022

N. Gigli, L. Tamanini, D. Trevisan:
Viscosity solutions of Hamilton-Jacobi equation in $RCD(K,\infty)$  spaces and applications to large deviations
(preprint) 2022

G. Giovannardi, A. Pinamonti, J. Pozuelo, S. Verzellesi:
The prescribed mean curvature equation for $t$-graphs in the Sub-Finsler Heisenberg group $\mathbb{H}^n$
(Preprint) 2022

F. Gmeineder, P. Lewintan, P. Neff:
Korn-Maxwell-Sobolev inequalities for general incompatibilities
(preprint) 2022

A. Goffi:
A priori Lipschitz estimates for nonlinear equations with mixed local and nonlocal diffusion via the adjoint-Bernstein method
Bollettino dell'Unione Matematica Italiana 2022

A. Goffi:
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2022

M. Goldman, B. Merlet:
A deformation theorem for tensor flat chains and applications (complement to ``Tensor rectifiable $G$-flat chains'')
(Preprint) 2022

M. Goldman, B. Merlet:
Set-decomposition of normal rectifiable $G$-chains via an abstract decomposition principle
(Preprint) 2022

M. Goldman, B. Merlet:
Tensor rectifiable $G$-flat chains
(Preprint) 2022

M. Goldman, B. Merlet, M. Pegon:
Uniform $C^{1,\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter
(Submitted Paper) 2022

M. Goldman, M. Novaga, B. Ruffini:
Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions
Proc. Amer. Math. Soc. Vol. 150, N. 3, p. 1153-1165, 2022

M. Goldman, M. Novaga, B. Ruffini:
Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion
J. Eur. Math. Soc. (Accepted Paper) 2022

M. Goldman, D. Trevisan:
Optimal transport methods for combinatorial optimization over two random point sets
PTRF (Accepted Paper) 2022

A. Gordeev, Y. Teplitskaya:
On regularity of maximal distance minimizers in Euclidean Space
(preprint) 2022

R. Grande:
A stochastic representation for the solution of approximated mean  curvature flow
2022

M. Griffin-Pickering, A. R. Mészáros:
A variational approach to first order kinetic mean field games with  local couplings
Comm. Partial Differential Equations (Accepted Paper) 2022

S. Guarino Lo Bianco, D. A. La Manna, B. Velichkov:
Free boundary cluster with Robin condition on the transmission interface
(Submitted Paper) 2022

F. Générau, E. Oudet, B. Velichkov:
Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality
Arch. Rat. Mech. Anal. (Accepted Paper) 2022

M. Gößwein, J. Menzel, A. Pluda:
Existence and Uniqueness of the Motion by Curvature of regular networks
Interfaces and Free Boundaries (Accepted Paper) 2022

E. Hakavuori, V. Kivioja, T. Moisala, F. Tripaldi:
Gradings for nilpotent Lie algebras
Journal of Lie Theory (Accepted Paper) Vol. 32, N. 2, p. 383--412, 2022

A. Henrot, M. Michetti:
Optimal bounds for Neumann eigenvalues in terms of the diameter
(Preprint) 2022

S. Hensel, A. Marveggio:
Weak-strong uniqueness for the Navier-Stokes equation for two fluids  with ninety degree contact angle and same viscosities
J. Math. Fluid Mech. Vol. 24, N. 93, 2022

J. Hirsch, K. Zemas:
A note on a rigidity estimate for degree $\pm 1$  conformal maps on $\mathbb{S}^2$
Bulletin of the London Mathematical Society Vol. 54, Issue 1, p. 256-263, 2022

M. Huesmann, F. Mattesini, D. Trevisan:
Wasserstein Asymptotics for the Empirical Measure of Fractional Brownian  Motion on a Flat Torus
Stochastic Processes and their Applications Vol. 155, p. 1--26, 2022

D. Hug, M. Santilli:
Curvature measures and soap bubbles beyond convexity
Advances in Mathematics 2022

J. A. Iglesias, G. Mercier:
Convergence of level sets in fractional Laplacian regularization
Inverse Problems 2022

J. A. Iglesias, S. Nakov:
Weak formulations of the nonlinear Poisson-Boltzmann equation in  biomolecular electrostatics
Journal of Mathematical Analysis and Applications 2022

J. A. Iglesias, D. Walter:
Extremal points of total generalized variation balls in 1D:  characterization and applications
Journal of Convex Analysis 2022

A. Jevnikar, Y. Sire, W. Yang:
Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities
(Preprint) 2022

C. Jimenez, A. Marigonda, M. Quincampoix:
Dynamical systems and Hamilton-Jacobi-Bellman equations on the Wasserstein Space and their $L^2$ representations
Journal of Mathematical Analysis (SIMA) (Accepted Paper) 2022

C. J. P. Johansson, R. Tione:
$T_5$ configurations and hyperbolic systems
Comm. Cont. Math. 2022

A. Julia, S. Nicolussi Golo, D. Vittone:
Area of intrinsic graphs and coarea formula in Carnot Groups
Math. Z. 2022

A. Julia, S. Nicolussi Golo, D. Vittone:
Lipschitz functions on submanifolds in Heisenberg groups
Int. Math. Res. Not. IMRN (Accepted Paper) 2022

D. King, F. Maggi, S. Stuvard:
Plateau's problem as a singular limit of capillarity problems
Comm. Pure Appl. Math. Vol. 75, N. 5, p. 895-969, 2022

D. King, F. Maggi, S. Stuvard:
Smoothness of collapsed regions in a capillarity model for soap films
Arch. Ration. Mech. Anal. Vol. 243, N. 2, p. 459-500, 2022

C. Kreisbeck, A. Ritorto, E. Zappale:
Cartesian convexity in the theory of nonlocal supremal functionals
(preprint) 2022

A. Kristály, F. Tripaldi, Zoltán M. Balogh:
Sharp log-Sobolev inequalities in ${\sf CD}(0,N)$ spaces with
  applications
(preprint) 2022

A. Kroshnin, E. Stepanov, D. Trevisan:
Infinite multidimensional scaling for metric measure spaces
ESAIM: COCV Vol. 28, N. 58, 2022

M. Kruzik, P. M. Mariano, D. Mucci:
Crack occurrence in bodies with gradient polyconvex energies
Journal of Nonlinear Science Vol. 32, p. 26, 2022

R. Kumar, A. Sarkar:
MULTIPLE SOLUTIONS FOR A WEIGHTED p-LAPLACIAN PROBLEM
EJDE-2022/CONF/26 (Proceedings) Vol. Conference 26 (2022), p. pp. 115-122, 2022

C. Labourie, A. Lemenant:
Epsilon-Regularity for Griffith almost-minimizers in any dimension under a separating condition
Arch Rational Mech Anal 247, 105 (2023). (Preprint) 2022

P. Lahti, A. Pinamonti, X. Zhou:
A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces
Nonlinear Analysis (Accepted Paper) 2022

X. Lamy, A. Lorent, G. Peng:
On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds
(Preprint) 2022

X. Lamy, E. Marconi:
On Lebesgue points of entropy solutions to the eikonal equation
(Preprint) 2022

X. Lamy, E. Marconi:
Stability of the vortex in micromagnetics and related models
(Preprint) 2022

H. Lavenant, F. Santambrogio:
The flow map of the Fokker-Planck equation does not provide optimal transport
Applied Mathematics Letters (Accepted Paper) 2022

G. Lazzaroni, R. Molinarolo, F. Solombrino:
Radial solutions for a dynamic debonding model in dimension two
Nonlinear Anal. Vol. 219, N. 112822, 2022

E. Le Donne, G. Pallier, X. Xie:
Rough similarity of left-invariant Riemannian metrics on some Lie groups
Groups, Geometry, and Dynamics (Accepted Paper) 2022

E. Le Donne, F. Tripaldi:
A Cornucopia of Carnot groups in Low Dimensions
Analysis and Geometry in Metric Spaces (Accepted Paper) Vol. 10, N. 1, p. 155-289, 2022

A. Leaci, F. Tomarelli:
RiemannLiouville Fractional Sobolev and Bounded Variation Spaces
Axioms Vol. 11, N. 1, p. 30-60, 2022

G. P. Leonardi, G. Saracco:
Rigidity and trace properties of divergence-measure vector fields
Adv. Calc. Var. Vol. 15, N. 1, p. 133--149, 2022

G. P. Leonardi, G. Saracco:
The isoperimetric problem in $2$d domains without necks
Calc. Var. Partial Differential Equations Vol. 61, N. 2, p. 56, 2022

A. Lerario, F. Tripaldi:
Multicomplexes on Carnot groups and their associated spectral sequence
(preprint) 2022

S. Luckhaus, K. Zemas:
Rigidity estimates for isometric and conformal maps from $\mathbb{S}^{n-1}$ to $\mathbb{R}^n$
Inventiones mathematicae Vol. 230, N. Issue 1, p. 375-461, 2022

M. Lui, E. Pasqualetto, I. Vojnovi:
On the reflexivity properties of Banach bundles and Banach modules
(preprint) 2022

F. Maggi, R. Neumayer, I. Tomasetti:
Rigidity theorems for best Sobolev inequalities
(Preprint) 2022

F. Maggi, M. Novack:
Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature
(Preprint) p. 67, 2022

F. Maggi, D. Restrepo:
Uniform stability in the Euclidean isoperimetric problem for the Allen--Cahn energy
(Preprint) p. 61, 2022

M. Magliocca:
On a fourth order equation describing single-component film models
(preprint) 2022

M. Magnabosco, L. Portinale, T. Rossi:
The strong Brunn--Minkowski inequality and its equivalence with the CD
  condition
(preprint) 2022

M. Magnabosco, C. Rigoni:
A canonical infinitesimally Hilbertian structure on locally Minkowski
  spaces
(preprint) 2022

V. Magnani:
Rotational symmetries and spherical measure in homogeneous groups
J. Geom. Anal. Vol. 32, p. 31, 2022

V. Magnani, D. Tiberio:
On the Michor-Mumford phenomenon in the infinite dimensional Heisenberg group
Revista Matemática Complutense 2022

F. P. Maiale:
Shape Optimization Problems and Regularity of the Free Boundaries
(Ph.D. Thesis) p. 200, 2022

E. Mainini, R. Ognibene, D. Percivale:
Asymptotic behavior of constrained local minimizers in finite elasticity
Journal of Elasticity 2022

E. Mainini, D. Percivale:
Linearization of elasticity models for incompressible materials
Z. Angew. Math. Phys. Vol. 73, 2022

A. Maione, F. Paronetto, E. Vecchi:
$G$-convergence of elliptic and parabolic operators depending on vector fields
ESAIM: Control, Optimisation and Calculus of Variations Vol. 29, N. 8, p. 21 pp., 2022

A. Maione, A. Pinamonti, F. Serra Cassano:
-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers
SIAM J. Math. Anal. Vol. 54, N. 6, p. 5761-5791, 2022

A. Maione, A. M. Salort, E. Vecchi:
Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev  spaces
Asymptotic Analysis Vol. 126, N. 3-4, p. 201-214, 2022

C. Mantegazza, M. Novaga, A. Pluda:
Type-0 singularities in the network flow - Evolution of trees
J. Reine Angew. Math. (Crelle's Journal) Vol. 792, p. 189-221, 2022

C. Mantegazza, M. Pozzetta:
Asymptotic convergence of evolving hypersurfaces
Revista Matematica Iberoamericana Vol. 38, N. 6, p. 1927-1944, 2022

P. Marcellini, E. Paolini:
Origami and fractal solutions of differential systems
Imagine Math 8 (Accepted Paper) Vol. 8, p. 367-377, 2022

R. March, G. Riey:
Euler equations and trace properties of minimizers of a functional for motion compensated inpainting
Inverse Problems and Imaging Vol. 16, N. 4, p. 703-737, 2022

R. Marchello, M. Morandotti, H. Shum, M. Zoppello:
The $N$-link swimmer in three dimensions: controllability and optimality results
Acta Applicandae Mathematicae Vol. 178, N. 6, 2022

E. Marconi, E. Radici, F. Stra:
Stability of quasi-entropy solutions of non-local scalar conservation laws
(Preprint) 2022

R. Marziani:
$\Gamma$-convergence and stochastic homogenisation of phase-transition functionals
ESAIM: Control Optim. Calc. Var. (Accepted Paper) p. 32, 2022

D. Mazzoleni, G. Savaré:
$L^2$-Gradient Flows of Spectral Functionals
Discrete and Continuous Dynamical Systems 2022

D. Mazzoleni, B. Trey, B. Velichkov:
Regularity of the optimal sets for the second Dirichlet eigenvalue
Ann. Inst. H. Poincaré Anal. Non Linéaire 2022

G. Meglioli, D. D. Monticelli, F. Punzo:
Nonexistence of solutions to quasilinear parabolic equations with a  potential in bounded domains
2022

G. Meglioli, A. Roncoroni:
Uniqueness in weighted Lebesgue spaces for an elliptic equation with  drift on manifolds
(Submitted Paper) 2022

U. Menne, C. Scharrer:
A priori bounds for geodesic diameter. Part I. Integral chains with
  coefficients in a complete normed commutative group
(preprint) 2022

A. C. G. Mennucci:
Tightness of Random Walks in Infinite Dimensional Spaces and Manifolds
(Preprint) 2022

A. Merlo, M. Mourgoglou, C. Puliatti:
On the density problem in the parabolic space
(preprint) 2022

M. Michetti:
Steklov-Dirichlet spectrum: stability, optimization and continuity of eigenvalues
(Preprint) 2022

A. Minne, D. Tewodrose:
Symmetrized and non-symmetrized Asymptotic Mean Value Laplacian in  metric measure spaces
Proceedings of the Royal Society of Edinburgh Section A: Mathematics (Accepted Paper) 2022

A. Mondino, D. Navarro:
Moduli spaces of compact RCD(0,N)-structures
Math. Annalen (Accepted Paper) 2022

A. Mondino, D. Semola:
Lipschitz continuity and Bochner-Eells-Sampson inequality for harmonic maps from $\mathrm{RCD}(K,N)$ spaces to $\mathrm{CAT}(0)$ spaces
American Journal of Mathematics (Accepted Paper) p. 48, 2022

M. G. Mora, F. Riva:
Pressure live loads and the variational derivation of linear elasticity
Proc. Roy. Soc. Edinburgh Sect. A Vol. 153, N. 6, p. 1929-1964, 2022

D. Mucci:
Strict convergence with equibounded area and minimal completely vertical liftings
Nonlinear Analysis Vol. 221, N. 112943, p. 30, 2022

D. Mucci:
Strong density results for manifold valued fractional Sobolev maps
Ann. Fac. Sci. Toulouse Math (Accepted Paper) 2022

D. Mucci, L. Nicolodi:
On the Ginzburg-Landau free energy density of superfluid phases A and B of Helium 3
Acta Appl Math Vol. 182, N. 7, p. 26, 2022

D. Mucci, A. Saracco:
On the curvatures of irregular curves in Euclidean spaces and Riemannian surfaces
Pure Appl. Funct. Anal. (Accepted Paper) p. 50, 2022

D. Mucci, A. Saracco:
Weak elastic energy of irregular curves
Philosophical Transactions A (Accepted Paper) p. 21, 2022

C. Muratov, M. Novaga, B. Ruffini:
Conducting flat drops in a  confining potential
Arch. Rat. Mech. Anal. Vol. 243, N. 3, p. 1773-1810, 2022

S. Nardulli, R. Resende:
Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity
(Submitted Paper) 2022

A. Nastasi, C. Pacchiano Camacho:
Higher integrability and stability of $(p,q)$-quasiminimizers
Journal of Differential Equations Vol. 342, p. 121-149, 2022

L. Nenna, B. Pass:
A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions
(Proceedings) 2022

L. Nenna, B. Pass:
An ODE characterisation of multi-marginal optimal transport with pairwise cost functions
(Preprint) 2022

L. Nenna, B. Pass:
Transport type metrics on the space of probability measures involving singular base measures
Applied Mathematics and Optimization (Accepted Paper) 2022

F. Nobili, E. Pasqualetto, T. Schultz:
On master test plans for the space of BV functions
Adv. Calc. Var. 2022

F. Nobili, I. Y. Violo:
Rigidity and almost rigidity of Sobolev inequalities on compact spaces  with lower Ricci curvature bounds
Calc. Var. Partial Differential Equations 2022

M. Novack, X. Yan:
A smectic liquid crystal model in the periodic setting
Nonlinear Analysis 2022

M. Novack, X. Yan:
Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness
Calculus of Variations and Partial Differential Equations 2022

M. Novaga, F. Onoue:
Existence of minimizers for a generalized liquid drop model with fractional perimeter
Nonlinear Analysis Vol. 224, N. 113078, 2022

M. Novaga, F. Onoue:
Local and Nonlocal Liquid Drop Models
(Proceedings) 2022

M. Novaga, E. Paolini, E. Stepanov, V. M. Tortorelli:
Isoperimetric clusters in homogeneous spaces via concentration compactness
J. Geom.  Anal. Vol. 32, N. 11, p. Article n. 263, 2022

F. Onoue:
Some Variational Problems Involving Nonlocal Perimeters and Applications
(Ph.D. Thesis) p. 129, 2022

F. Oronzio:
ADM Mass and Linear Potential Theory
(PhD Thesis) 2022

F. Oronzio:
ADM mass, area and capacity in asymptotically flat $3$--manifolds with nonnegative scalar curvature
(Preprint) p. 28, 2022

F. Oronzio:
An example in dimension four of a Riemannian manifold such that its sectional curvature is positive and its curvature operator is not nonnegative
(Short Note) 2022

V. Pagliari, K. Papafitsoros, B. Raita, A. Vikelis:
Bilevel Training Schemes in Imaging for Total Variation--Type Functionals with Convex Integrands
SIAM Journal on Imaging Sciences Vol. 15, 2022

G. Palatucci, M. Piccinini:
Nonlocal Harnack inequalities in the Heisenberg group
Calc. Var. Partial Differential Equations Vol. 61, N. Art. 185, 2022

D. Pallara, S. Polidoro:
Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups
Discrete Contin. Dyn. Syst. Ser. S (Accepted Paper) 2022

G. Pallier:
On the logarithmic coarse structures of Lie groups and hyperbolic spaces
Geometriae Dedicata Vol. 216, N. 56, 2022

G. Pallier, Y. Qing:
Sublinear biLipschitz equivalence and sublinearly Morse boundaries
(Preprint) 2022

F. Palmurella, T. Rivière:
The Parametric Approach to the Willmore Flow
Adv. Math. Vol. 400, p. 108257, 2022

E. Pasqualetto:
A short proof of the existence of master test plans
Archiv der Mathematik (Accepted Paper) 2022

E. Pasqualetto:
Limits and colimits in the category of Banach $L^0$-modules
(preprint) 2022

M. Perugini:
Rigidity of Steiner's inequality for the anisotropic perimeter
Ann. Sc. norm. super. Pisa - Cl. sci 2022

Peter Olamide Olanipekun:
Study of a Four Dimensional Willmore Energy
(preprint) 2022

M. Piccinini:
The obstacle problem and the Perron Method for nonlinear fractional  equations in the Heisenberg group
Nonlinear Anal. 2022

A. Pinamonti, S. Verzellesi, C. Wang:
The Aronsson Equation for Absolute Minimizers of Supremal Functionals in Carnot-Carathéodory Spaces
Bulletin of the London Mathematical Society 2022

P. Piovano, I. Veli:
Microscopical justification of solid-state wetting and dewetting
J. Nonlinear Sci. Vol. 32, p. 55, 2022

A. Pluda, M. Pozzetta:
On the uniqueness of nondegenerate blowups for the motion by curvature of networks
(Preprint) 2022

M. Pozzetta:
Convergence of elastic flows of curves into manifolds
Nonlinear Analysis 2022

E. Radici, F. Stra:
Entropy solutions of non-local scalar conservation laws with congestion  via deterministic particle method
to appear on SIAM: Journal of Mathematical Analysis (Accepted Paper) 2022

R. Resende:
On clusters and the multi-isoperimetric profile in Riemannian manifolds  with bounded geometry
Journal of Dynamical and Control Systems p. 23, 2022

F. Riva, G. Scilla, F. Solombrino:
The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems
Adv. Calc. Var. Vol. 6, N. 4, p. 903-934, 2022

T. Rossi:
The relative heat content for submanifolds in sub-Riemannian geometry
(preprint) 2022

B. Ruffini:
Optimization problems with non-local repulsion
Bruno Pini Mathematical Analysis Seminar p. 101-121, 2022

A. Ruland, A. Tribuzio:
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square
Archive for Rational Mechanics and Analysis Vol. 243, p. 401-431, 2022

F. Rupp, C. Scharrer:
Li-Yau inequalities for the Helfrich functional and applications
(preprint) 2022

F. Santambrogio:
Sharp Wasserstein estimates for integral sampling and Lorentz summability of transport densities
J. Funct. An. (Accepted Paper) 2022

F. Santambrogio, G. Toshpulatov:
Strong L^2 H^2 convergence of the JKO scheme for the Fokker-Planck equation
(Preprint) 2022

G. Savaré, G. E. Sodini:
A simple relaxation approach to duality for Optimal Transport problems in completely regular spaces
Journal of Convex Analysis Vol. 29, N. 1, p. 1-12, 2022

C. Scharrer:
Embedded Delaunay tori and their Willmore energy
Nonlinear Analysis (Accepted Paper) 2022

C. Scharrer:
Some geometric inequalities for varifolds on Riemannian manifolds based  on monotonicity identities
Annals of Global Analysis and Geometry (Accepted Paper) 2022

G. Scilla, B. Stroffolini:
Invertibility of Orlicz-Sobolev maps
AWM Volume - Research in Mathematics of Materials Science (Accepted Paper) 2022

F. Sk:
Remarks on the fractional Moser-Trudinger inequality
Journal d'Analyse Mathématique (Accepted Paper) 2022

N. Soave, G. Tortone:
On the nodal set of solutions to some sublinear equations without
  homogeneity
(preprint) 2022

G. E. Sodini:
The general class of Wasserstein Sobolev spaces: density of cylinder  functions, reflexivity, uniform convexity and Clarkson's inequalities
Calculus of Variations and Partial Differential Equations Vol. 62, N. 7, 2022

G. Speight, S. Zimmerman:
A $C^{m,\omega}$ Whitney Extension Theorem for Horizontal Curves in the Heisenberg Group
(Preprint) p. 21, 2022

M. Squassina, M. Yang, S. Zhao:
Local Uniqueness of blow-up  solutions for critical Hartree equations in bounded domain
Calculus of Variations PDEs (Accepted Paper) p. 40, 2022

G. Stefani:
Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups
J. Geom. Anal. Vol. 32, N. 4, p. 1050 - 6926, 2022

E. Stepanov, D. Trevisan:
On exterior differential systems involving differentials of H\"{o}lder functions
J. Differential Equations Vol. 337, p. 91137, 2022

S. Stuvard:
Multiple valued sections of vector bundles: the reparametrization  theorem for $Q$-valued functions revisited
Comm. Anal. Geom. Vol. 30, N. 1, p. 207-255, 2022

S. Stuvard, Y. Tonegawa:
On the existence of canonical multi-phase Brakke flows
Adv. Calc. Var. 2022

L. Tamanini:
A generalization of Costa's Entropy Power Inequality
IEEE Transactions on Information Theory 2022

E. Tasso:
Rectifiability of a class of integralgeometric measures and applications
(Submitted Paper) 2022

S. Terracini, G. Tortone, S. Vita:
Higher order boundary Harnack principle via degenerate equations
(preprint) 2022

D. Tewodrose:
Adimensional weighted Sobolev inequalities in PI spaces
Annales Fennici Mathematici Vol. 47(1), p. 351379, 2022

R. Tione:
Critical points of degenerate polyconvex energies
SIAM J. Math. Anal. 2022

G. Tortone:
Liouville theorems and optimal regularity in elliptic equations
(preprint) 2022

A. Tyulenev:
Restricitions of Sobolev $W^{1}_{p}(\mathbb{R}^{2})$-spaces to planar rectifiable curves
Ann. Fenn. Math. Vol. 47, N. 1, p. 507-531, 2022

A. Tyulenev:
Some Porosity-type Properties of Sets Related to the $d$-Hausdorff Content
Proceedings of the Steklov Mathematical Institute Vol. 319, p. 283-306, 2022

D. Vittone:
Lipschitz graphs and currents in Heisenberg groups
Forum Math. Sigma Vol. 10, N. Paper No. e6., 2022

H. Yoldas:
On quantitative hypocoercivity estimates based on Harris-type theorems
(preprint) 2022

A. eík, G. Gravina, M. Kampschulte:
Inertial evolution of non-linear viscoelastic solids in the face of
  (self-)collision
(preprint) 2022