K. ASHOK KUMAR, N. Biswas:
Strict monotonicity of the first $q$-eigenvalue of the fractional  $p$-Laplace operator over annuli
Journal of Geometric Analysis Vol. 34, N. 96, p. 21, 2024

P. Acampora, A. Celentano, E. Cristoforoni, C. Nitsch, C. Trombetti:
A spectral isoperimetric inequality on the n-sphere for the
  Robin-Laplacian with negative boundary parameter
(preprint) 2024

P. Acampora, E. Cristoforoni:
On the asymptotic behavior of a diffraction problem with a thin layer
(preprint) 2024

E. Acerbi, C. N. Chen, Y. S. Choi:
Bifurcation for a sharp interface generation problem
(Submitted Paper) 2024

A. Acharya, B. Stroffolini, A. Zarnescu:
Variational Dual Solutions for Incompressible Fluids
(Preprint) 2024

R. Adami, F. Boni, R. Carlone, L. Tentarelli:
NLS ground states on a hybrid plane
(preprint) 2024

R. Adami, F. Boni, R. Carlone, L. Tentarelli:
The search for NLS ground states on a hybrid domain: Motivations,  methods, and results
(preprint) 2024

D. Addona, G. Menegatti, M. Miranda Jr:
Gradient contractivity of a rescaled resolvent on domains in Wiener
  spaces
(preprint) 2024

D. G. Afonso, A. Iacopetti, F. Pacella:
Energy stability for a class of semilinear elliptic problems
Journal of Geometric Analysis 2024

A. Agrachev, L. Rizzi, T. Rossi:
Relative heat content asymptotics for sub-Riemannian manifolds
Analysis & PDE Vol. 17, N. 9, p. 44, 2024

G. Akagi, V. Bögelein, A. Marveggio, U. Stefanelli:
Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave
  equations
(preprint) 2024

C. Alessi, L. Brasco, M. Miranda Jr:
A Schroedinger operator with confining potential having quadratic growth
(Preprint) p. 35, 2024

R. Alicandro, M. S. Gelli, C. Leone:
Variational analysis of nonlocal Dirichlet problems in periodically perforated domains
(Submitted Paper) 2024

F. Almgren, W. Browder, G. Caldini, C. De Lellis:
Optimal smooth approximation of integral cycles
(preprint) 2024

S. Almi, R. Badal, M. Friedrich, S. Schwarzacher:
Thermo-elastodynamics of nonlinearly viscous solids
(Preprint) 2024

S. Almi, M. Caponi, M. Friedrich, F. Solombrino:
A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations
Mathematische Annalen 2024

S. Almi, E. Davoli, A. Kubin, E. Tasso:
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case
(Submitted Paper) 2024

S. Almi, R. Durastanti, F. Solombrino:
A Pontryagin Maximum Principle for agent-based models with convex state space
(Preprint) 2024

S. Almi, D. Reggiani, F. Solombrino:
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth
Calculus of Variations and Partial Differential Equations Vol. 63, N. 1, p. art. 24, 2024

F. Almuratov, G. Bellettini, S. Kholmatov:
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions
(Preprint) 2024

V. Amato, D. Bucur, I. Fragalà:
The geometric size of the fundamental gap
(Submitted Paper) 2024

D. M. Ambrose, M. Griffin-Pickering, A. R. Mészáros:
Kinetic-type Mean Field Games with Non-separable Local Hamiltonians
(Preprint) 2024

L. Ambrosio, T. Ikonen, D. Lui, E. Pasqualetto:
Metric Sobolev spaces I: equivalence of definitions
(preprint) 2024

L. Ambrosio, D. Trevisan, F. Vitillaro:
Sharp PDE estimates for random two-dimensional bipartite matching with
  power cost function
(preprint) 2024

P. Ambrosio:
Sharp Sobolev regularity for widely degenerate parabolic equations
Calculus of Variations and Partial Differential Equations (Accepted Paper) 2024

P. Ambrosio, F. Bäuerlein:
Gradient bounds for strongly singular or degenerate parabolic systems
Journal of Differential Equations Vol. 401, p. 492-549, 2024

P. Ambrosio, S. Cuomo, M. De Rosa:
A physics-informed deep learning approach for solving strongly degenerate parabolic problems
Engineering with Computers 2024

P. Ambrosio, A. G. Grimaldi, A. Passarelli di Napoli:
On the second-order regularity of solutions to widely degenerate elliptic equations
(Submitted Paper) 2024

F. Anceschi, G. Ascione, D. Castorina, F. Solombrino:
Optimal control problems driven by nonlinear degenerate Fokker-Planck equations
(Preprint) 2024

F. Anceschi, G. Ascione, D. Castorina, F. Solombrino:
Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded  drift
Journal of Mathematical Analysis and Applications Vol. 543, N. 2, Part 1, p. 128909, 2024

F. Anceschi, G. Palatucci, M. Piccinini:
Harnack inequalities for kinetic integral equations
(Submitted Paper) 2024

F. Ancona, A. Bressan, E. Marconi, L. Talamini:
Intermediate domains for scalar conservation laws
(Preprint) 2024

J. H. Andrade, D. Corona, S. Nardulli, P. Piccione, R. Ponciano:
From bubbles to clusters: Multiple solutions to the Allen--Cahn system
(Preprint) p. 29, 2024

Andrei A. Agrachev, S. Baranzini, E. Bellini, L. Rizzi:
Quantitative tightness for three-dimensional contact manifolds: a
  sub-Riemannian approach
(preprint) 2024

G. Andreucci, M. Focardi, E. Spadaro:
On the free boundary for thin obstacle problems with Sobolev variable coefficients
(Submitted Paper) 2024

G. Antonelli, M. Calzi, M. Gordina:
Sharp defective log-Sobolev inequalities on H-type groups
(preprint) 2024

G. Antonelli, M. Fogagnolo, S. Nardulli, M. Pozzetta:
Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature
(Preprint) 2024

G. Antonelli, F. Glaudo:
Nonexistence of isoperimetric sets in spaces of positive curvature
Journal für die reine und angewandte Mathematik (Crelle's Journal) (Accepted Paper) 2024

G. Antonelli, E. Pasqualetto, M. Pozzetta, D. Semola:
Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
Mathematische Annalen Vol. 389, N. 2, p. 1677-1730, 2024

G. Antonelli, M. Pozzetta, D. Semola:
Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature
(Preprint) 2024

G. Antonelli, K. Xu:
New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry
(Preprint) 2024

G. Antonelli, R. Young:
Ergodic quasi-isometries and the cohomology of nilpotent Lie groups
(Preprint) 2024

G. Antonelli, R. Young:
Vertical curves and vertical fibers in the Heisenberg group
(Preprint) 2024

N. Apollonio, D. De Canditiis, G. Franzina, P. Stolfi, G. L. Torrisi:
Normal approximation of random Gaussian neural networks
Stochastic Systems (Accepted Paper) 2024

M. Astwood, M. Morandotti, H. Shum, M. Zoppello:
Control of Microparticles Through Hydrodynamic Interactions
(Submitted Paper) 2024

J. F. Babadjian, A. Giacomini, M. G. Mora:
Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity
(Submitted Paper) 2024

A. Bach, M. Cicalese, A. Garroni, G. Orlando:
Stacking faults in the limit of a discrete model for partial edge dislocations
(Preprint) 2024

F. Bagagiolo, R. Capuani, L. Marzufero:
A single player and a mass of agents: a pursuit-evasion like game
ESAIM: Control, Optimisation and Calculus of Variations Vol. 30, N. 17, p. 28, 2024

F. Bagagiolo, R. Capuani, L. Marzufero:
A zero-sum differential game for two opponent masses
(Preprint) 2024

P. Baldi, V. Julin, D. A. La Manna:
Liquid drop with capillarity and rotating traveling waves
(preprint) 2024

F. Ballarin, G. Bevilacqua, L. Lussardi, A. Marzocchi:
Elastic membranes spanning deformable curves
Z. Angew. Math. Mech. p. e202300890, 2024

M. Bansil, A. R. Mészáros:
Hidden monotonicity and canonical transformations for mean field games and master equations
(Preprint) 2024

M. Bansil, A. R. Mészáros:
On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations
(Preprint) 2024

M. Bansil, A. R. Mészáros, C. Mou:
Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations
SIAM J. Control Optim. (Accepted Paper) 2024

M. Barchiesi, D. Henao, C. Mora-Corral, R. Rodiac:
On the lack of compactness in the axisymmetric neo-Hookean model
Forum of Mathematics, Sigma Vol. 12, 2024

M. Bardi:
Asymptotic properties of non-coercive Hamiltonians with drift
Discrete Contin. Dynam. Systems (Preprint) 2024

M. Bardi, H. Kouhkouh:
Deep Relaxation of Controlled Stochastic Gradient Descent via Singular  Perturbations
SIAM J. Control Optim. Vol. 62, N. 4, p. 2229--2253, 2024

M. Bardi, H. Kouhkouh:
Long-time behaviour of deterministic Mean Field Games with non-monotone interactions
SIAM J. Math. Anal. Vol. 56, p. 5079--5098, 2024

D. Barilari, A. Mondino, L. Rizzi:
Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
Memoirs of the AMS (Accepted Paper) 2024

P. Barrios, S. Mayorga, E. Stepanov:
On a discrete max-plus transportation problem
(Preprint) 2024

A. C. Barroso, J. Matias, E. Zappale:
A Global Method for Relaxation for Multi-levelled Structured Deformations
Nonlinear Differential Equations and Applications (Accepted Paper) 2024

S. Bartels, G. Buttazzo, H. Keller:
Optimization of an eigenvalue arising in optimal insulation with a lower bound
(Preprint) 2024

D. Bartolucci, P. Cosentino, A. Jevnikar, C. S. Lin:
On the first eigenvalue of Liouville-type problems
Proc. Amer. Math. Soc. (Accepted Paper) p. 14, 2024

D. Bartolucci, A. Jevnikar, R. Wu:
Sharp estimates, uniqueness and spikes condensation for superlinear free boundary problems arising in plasma physics
(Preprint) p. 54, 2024

M. Basok, D. Cherkashin, N. Rastegaev, Y. Teplitskaya:
On uniqueness in Steiner problem
International Mathematics Research Notices p. rnae025, 2024

M. Bayrami, M. Fotouhi:
Regularity in the two-phase Bernoulli problem for the $p$-Laplace  operator
Calculus of Variations and Partial Differential Equations (preprint) Vol. 63, p. Art. 183., 2024

M. Bayrami, M. Fotouhi, H. Shahgholian:
Lipschitz regularity of a weakly coupled vectorial almost-minimizers for  the $p$-Laplacian
Journal of Differential Equations Vol. 412, p. 447-473, 2024

G. Bellettini, A. Elshorbagy, R. Scala:
Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment
(Preprint) 2024

G. Bellettini, A. Elshorbagy, R. Scala:
The $L^1$-relaxed area of the graph of the vortex map: optimal lower bound
(Preprint) 2024

G. Bellettini, A. Elshorbagy, R. Scala:
The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound
(Preprint) 2024

G. Bellettini, S. Kholmatov:
Minimizing movements for the generalized power mean curvature flow
(Preprint) 2024

G. Bellettini, R. Marziani, R. Scala:
A non-parametric Plateau problem with partial free boundary
Journal de lÉcole polytechnique  Mathématiques Vol. 11, p. pp. 1035-1098, 2024

J. D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyré:
A numerical method for regularized transportation problems
Frontiers of Science Award paper (Proceedings) 2024

L. Benatti, M. Fogagnolo, L. Mazzieri:
Minkowski Inequality on complete Riemannian manifolds with nonnegative  Ricci curvature
Analysis & PDE Vol. 17, N. 9, 2024

L. Benatti, C. Mantegazza, F. Oronzio, A. Pluda:
A Note on Ricci-pinched three-manifolds
(Preprint) 2024

L. Benatti, A. Pluda, M. Pozzetta:
Fine properties of nonlinear potentials and a unified perspective on
  monotonicity formulas
(preprint) 2024

L. Benatti, I. Y. Violo:
Second-order estimates for the $p$-Laplacian in RCD spaces
(preprint) 2024

R. Benedetti, C. Mantegazza:
La congettura di Poincaré
Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur. Vol. 102, N. 2, 2024

T. Beretti, L. Gennaioli:
Fourier transform of BV functions and applications
(preprint) 2024

G. Bevilacqua, A. Giorgini:
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring  in Soft Matter Physics
SIAM Journal on Mathematical Analysis Vol. 56, N. 5, 2024

G. Bevilacqua, C. Lonati, L. Lussardi, A. Marzocchi:
A variational analysis of nematic axisymmetric films: the covariant
  derivative case
(preprint) 2024

G. Bevilacqua, L. Lussardi, A. Marzocchi:
Soap films: from the Plateau problem to deformable boundaries
Commun. Appl. Ind. Math Vol. 15, 2024

G. Bevilacqua, S. Stuvard, B. Velichkov:
Classical solutions to the soap film capillarity problem for plane
  boundaries
(preprint) 2024

F. Bianchi, G. Stefani, A. C. Zagati:
A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodecki spaces
(Submitted Paper) 2024

I. Birindelli, A. Briani, H. Ishii:
Fully nonlinear elliptic PDEs in thin domains with oblique boundary  condition
(preprint) 2024

I. Birindelli, A. Briani, H. Ishii:
Test function approach to fully nonlinear equations in thin domains
Proceedings of the American Mathematical Society (Accepted Paper) 2024

N. Biswas, R. Kumar:
Higher order fractional weighted homogeneous spaces: characterization  and finer embeddings
(preprint) 2024

N. Biswas, R. Kumar:
On semipositone problems over $\mathbb{R}^N$ for the fractional  $p$-Laplace operator
(preprint) 2024

F. Boarotto, R. Monti, A. Socionovo:
Higher Order Goh Conditions for Singular Extremals of Corank 1
Archive for Rational Mechanics and Analysis Vol. 248, N. 23, 2024

B. Bogosel, A. Henrot, M. Michetti:
Optimization of Neumann Eigenvalues under convexity and geometric constraints
(Preprint) 2024

M. Bonacini, R. Cristoferi, I. Topaloglu:
A stability inequality for the planar lens partition
(Submitted Paper) 2024

M. Bonacini, R. Cristoferi, I. Topaloglu:
Stability of the ball for attractive-repulsive energies
SIAM Journal on Mathematical Analysis Vol. 56, N. 1, p. 588-615, 2024

M. Bonacini, F. Iurlano:
Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies
Calc. Var. Partial Differential Equations (Accepted Paper) 2024

M. Bonforte, A. Figalli:
The Cauchy-Dirichlet Problem for the Fast Diffusion Equation on Bounded Domains
Nonlinear Anal. 2024

M. Bonforte, F. Maggi, D. Restrepo:
Asymptotic behavior of a diffused interface volume-preserving mean
  curvature flow
(preprint) 2024

M. Bonnivard, R. Ducasse , A. Lemenant, A. Zilio:
A field-road system with a rectifiable set
(Preprint) 2024

E. Borgonovo, A. Figalli, E. Plischke, G. Savaré:
Global sensitivity analysis via optimal transport
Management Science (Accepted Paper) 2024

M. Borowski, I. Chlebicka, F. De Filippis, B. Miasojedow:
Absence and presence of Lavrentievs phenomenon for double phase functionals upon every choice of exponents
Calculus of Variations and Partial Differential Equations Vol. 63, 2024

W. Borrelli, M. Correggi, D. Fermi:
Pauli Hamiltonians with an Aharonov-Bohm flux
J. Spectr. Theory (Accepted Paper) p. 30, 2024

W. Borrelli, U. Morellini:
Global well-posedness in a Hartree-Fock model for graphene
(Submitted Paper) p. 21, 2024

S. Borza, W. Klingenberg:
Local non-injectivity of the exponential map at critical points in  sub-Riemannian geometry
Nonlinear Analysis Vol. 239, p. 113421, 2024

S. Borza, M. Magnabosco, T. Rossi, K. Tashiro:
Measure contraction property and curvature-dimension condition on  sub-Finsler Heisenberg groups
(preprint) 2024

S. Borza, M. Magnabosco, T. Rossi, K. Tashiro:
The curvature exponent of sub-Finsler Heisenberg groups
(preprint) 2024

T. Bossio, L. Rizzi, T. Rossi:
Tubes in sub-Riemannian geometry and a Weyl's invariance result for
  curves in the Heisenberg groups
(preprint) 2024

P. Bouafia, T. De Pauw:
A regularity property of fractional Brownian sheets
J. Fractal Geom. (Accepted Paper) 2024

P. Bouafia, T. De Pauw:
A representation formula for members of SBV dual
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 25, N. 1, p. 483-493, 2024

D. Bourne, M. Buze, J. Feydy, S. Roper, K. Sedighiani:
Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport
Computational Materials Science Vol. 245, p. 113317, 2024

D. Bourne, M. Pearce, S. Roper:
Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport
(Submitted Paper) 2024

D. Bourne, B. Schmitzer, B. Wirth:
Semi-discrete unbalanced optimal transport and quantization
(Submitted Paper) 2024

F. Bozzola, L. Brasco:
Capacitary inradius and Poincaré-Sobolev inequalities
(Preprint) p. 35, 2024

F. Bozzola, L. Brasco:
The role of topology and capacity in some bounds for principal frequencies
J. Geom. Anal. (Accepted Paper) p. 37, 2024

K. Bobotowski, G. Bouchitté:
Kantorovich-Rubinstein duality theory for the Hessian
(preprint) 2024

A. Braides:
A simplified counterexample to the integral representation of the relaxation of double integrals
Comptes Rendus - Série Mathématique Vol. 362, p. 487-491, 2024

A. Braides, G. C. Brusca, D. Donati:
Another look at elliptic homogenization
Milan J. Math Vol. 92, p. 1-23, 2024

A. Braides, A. Causin, M. Solci:
Discrete approximation of nonlocal-gradient energies
Adv. Calc. Var. Vol. 17, p. 1507--1518, 2024

A. Braides, A. Chambolle:
Ising systems, measures on the sphere, and zonoids
Tunisian J. Math. Vol. 6, N. 2, p. 299-319, 2024

A. Braides, G. Dal Maso:
Validity and failure of the integral representation of -limits of convex non-local functionals
J. Functional Anal. Vol. 286, p. 110317, 2024

A. Braides, G. Dal Maso, C. Le Bris:
A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization
Ann. Inst. H. Poincaré Anal. Non Linéaire 2024

A. Braides, G. Dal Maso, C. Le Bris:
A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations
(Submitted Paper) 2024

A. Braides, G. Noselli, S. Vincini:
Elastic bodies with kinematic constraints on many small regions
J. Math. Phys. Solids (Accepted Paper) 2024

A. Braides, S. Scalabrino, C. Trifone:
Homogenization of non-local energies on disconnected sets
J. Convex Anal. (Accepted Paper) 2024

A. Braides, E. Voglino, M. Zanardini:
Microstructures and anti-phase boundaries in long-range lattice systems
Netw. Heterogen. Media Vol. 19, p. 992-1012, 2024

L. Branca, G. Catino, D. Dameno, P. Mastrolia:
Rigidity of Einstein manifolds with positive Yamabe invariant
(Submitted Paper) 2024

L. Brasco:
Beyond Cheeger's constant
(Submitted Paper) p. 33, 2024

K. Bredies, J. A. Iglesias, D. Walter:
On extremal points for some vectorial total variation seminorms
(Submitted Paper) 2024

C. Brena:
Functions of bounded variation on RCD spaces
(Ph.D. Thesis) 2024

C. Brena, S. Decio:
Unique continuation for area minimizing currents
(preprint) 2024

M. Bresciani, M. Friedrich:
Quasistatic growth of cavities and cracks in the plane
(preprint) 2024

M. Bresciani, M. Friedrich, C. Mora-Corral:
Variational models with Eulerian-Lagrangian formulation allowing for material failure
(Preprint) 2024

M. Bresciani, B. Stroffolini:
Quasistatic evolution of Orlicz-Sobolev nematic elastomers
(preprint) 2024

C. Brizzi, G. Friesecke, T. Ried:
$h$-Wasserstein barycenters
(preprint) 2024

L. Bronsard, M. Novack:
An Infinite Double Bubble Theorem
(Preprint) 2024

G. C. Brusca, D. Donati, M. Solci:
Higher-order singular perturbation models for phase transitions
(preprint) 2024

E. Bruè, M. Colombo, A. Kumar:
Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity
(Preprint) 2024

E. Bruè, M. Colombo, A. Kumar:
Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field
(Preprint) 2024

E. Bruè, A. Pigati, D. Semola:
Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below
(Preprint) 2024

B. Bulanyi, J. Van Schaftingen:
Singular extension of critical Sobolev mappings under an exponential weak-type estimate
J. Funct. Anal. p. 21, 2024

L. Bungert, J. Calder , K. Houssou, M. Mihailescu, A. Yuan:
Convergence rates for Poisson learning to a Poisson equation with
  measure data
(preprint) 2024

L. Bungert, J. Calder , T. Roith:
Ratio convergence rates for Euclidean first-passage percolation:  Applications to the graph infinity Laplacian
Annals of Applied Probability Vol. 34, N. 4, p. 3870-3910, 2024

L. Bungert, T. Laux, K. Stinson:
A mean curvature flow arising in adversarial training
(preprint) 2024

L. Bungert, K. Stinson:
Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning
Calculus of Variations and Partial Differential Equations Vol. 63, N. 5, p. 114, 2024

L. Bungert, F. del Teso:
Convergence rates of the fractional to the local Dirichlet problem
(preprint) 2024

G. Buttazzo, J. Casado-Diaz, F. Maestre:
Optimal coefficients for elliptic PDEs
(Preprint) 2024

M. Buze:
Constrained Hellinger-Kantorovich barycenters: least-cost soft and conic
  multi-marginal formulations
(preprint) 2024

J. Byeon, N. Ikoma, A. Malchiodi, L. Mari:
Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born Infeld model
Annals of PDE Vol. 10, N. 4, p. 86, 2024

K. Böröczky, A. Figalli, J. P. G. Ramos :
A quantitative stability result for the Prékopa-Leindler inequality for arbitrary measurable functions
Ann. Inst. H. Poincaré Anal. Non Linéaire 2024

E. Cabezas-Rivas, S. Moll, V. Pallardó-Julià:
Lipschitz regularity for manifold-constrained ROF elliptic systems
(Submitted Paper) 2024

E. Caglioti, M. Goldman, F. Pieroni, D. Trevisan:
Subadditivity and optimal matching of unbounded samples
(Preprint) 2024

T. Caillet, F. Santambrogio:
Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows
SIAM J. Math. An. (Accepted Paper) 2024

T. Caillet, F. Santambrogio:
Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme)
(Preprint) 2024

V. Calvez, D. Poyato, F. Santambrogio:
Uniform contractivity of the Fisher infinitesimal model with strongly convex selection
Analysis and PDEs (Accepted Paper) 2024

F. Camerlenghi, E. Dolera, S. Favaro, E. Mainini:
Wasserstein posterior contraction rates in non-dominated Bayesian nonparametric models
Ann. Inst. H. Poincaré Probab. Statist. (Accepted Paper) 2024

F. Camilli, A. Festa, L. Marzufero:
A network model for urban planning
(Preprint) 2024

D. Campbell, A. Kauranen, E. Radici:
Minimal Extension for the $$-Manhattan norm
Rend. Lincei Mat. Apple. 2024

J. Candau-Tilh, M. Goldman, B. Merlet:
An exterior optimal transport problem
Calc. Var. and PDEs (Accepted Paper) 2024

G. Canevari, V. P. C. Le:
Energy-minimizing torus-valued maps with prescribed singularities,  Plateau's problem, and BV-lifting
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Accepted Paper) 2024

N. Cangiotti, M. Caponi, A. Maione, E. Vitillaro:
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators
Fractional Calculus and Applied Analysis 2024

L. Capogna, G. Giovannardi, A. Pinamonti, S. Verzellesi:
The asymptotic $p$-Poisson equation as $p \to \infty$  in Carnot-Carathéodory spaces
Math. Ann. 2024

M. Caponi, A. Carbotti, A. Maione:
$H$-compactness for nonlocal linear operators in fractional divergence form
(Submitted Paper) 2024

M. Caponi, A. Carbotti, F. Sapio:
The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture
Journal of Evolution Equations p. 24, 2024

E. Caponio, D. Corona, R. Giambò, P. Piccione:
Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge
Annali di Matematica Pura e Applicata (1923 -) 2024

E. Caputo, N. Cavallucci:
A geometric approach to Poincaré inequality and Minkowski content of  separating sets
Int. Math. Res. Not. (Accepted Paper) 2024

E. Caputo, N. Cavallucci:
Poincaré inequality and energy of separating sets
(Preprint) 2024

E. Caputo, N. Cavallucci:
Sobolev spaces via chains in metric measure spaces
(Preprint) p. 49, 2024

E. Caputo, A. Gerolin, N. Monina, L. Portinale:
Quantum optimal transport with convex regularization
(preprint) 2024

L. Caravenna, E. Marconi, A. Pinamonti:
Hölder regularity of continuous solutions to balance laws and  applications in the Heisenberg group
SIAM J. Math. Anal. (Accepted Paper) 2024

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 Vol. 32, N. 2, p. 27, 2024

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Local Regularity of very weak $s$-harmonic functions via fractional difference quotients
Rendiconti Lincei. Matematica e Applicazioni (Accepted Paper) p. 24, 2024

A. Carbotti, S. Cito, D. A. La Manna, D. Pallara:
Stability of the Gaussian Faber-Krahn inequality
Annali di Matematica Pura e Applicata Vol. 203, p. 21852198, 2024

M. Carducci, B. Velichkov:
An epiperimetric inequality for odd frequencies in the thin obstacle
  problem
(preprint) 2024

M. Carioni, J. A. Iglesias, D. Walter:
Extremal points and sparse optimization for generalized  Kantorovich-Rubinstein norms
Foundations of Computational Mathematics 2024

G. Carlier, A. Figalli, F. Santambrogio:
On optimal transport maps between 1/d-concave densities
Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2024

M. Caroccia, R. Scala:
On the singular planar Plateau problem
Calculus of Variation and PDEs (Accepted Paper) Vol. 63, N. 242, p. 32, 2024

M. Carriero, S. Cito, A. Leaci:
Minimization of the buckling load of a clamped plate with perimeter constraint
Applied Mathematics and Optimization 2024

M. Carriero, A. Leaci, F. Tomarelli:
Almansi decomposition and expansion of a polyharmonic function near a crack-tip
Journal of Convex Analysis Vol. 31, N. 2, p. 379-409, 2024

M. Caselli:
Geometric features of nonlocal minimal surfaces
(Lecture Notes) 2024

M. Caselli:
Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$
(preprint) p. 11, 2024

M. Caselli, E. Florit-Simon, J. Serra:
Fractional Sobolev spaces on Riemannian manifolds
Mathematische Annalen p. 42, 2024

M. Caselli, M. Freguglia, N. Picenni:
A nonlocal approximation of the area in codimension two
(Preprint) 2024

J. B. Casteras, L. Monsaingeon, F. Santambrogio:
Sticky-reflecting diffusion as a Wasserstein gradient flow
(Preprint) 2024

G. Catino, D. Dameno, P. Mastrolia:
On Riemannian four-manifolds and their twistor spaces: a moving frame approach
Math. Nachr. (Accepted Paper) 2024

G. Catino, D. Dameno, P. Mastrolia:
Some canonical metrics via Aubin's local deformations
J. Math. Pures Appl. (Accepted Paper) 2024

G. Catino, Y. Li, D. D. Monticelli, A. Roncoroni:
A Liouville theorem in the Heisenberg group
J. Eur. Math. Soc. (Accepted Paper) 2024

G. Catino, P. Mastrolia, A. Roncoroni:
Two rigidity results for stable minimal hypersurfaces
Geom. Funct. Anal. Vol. 34, p. 1-18, 2024

G. Catino, D. D. Monticelli, A. Roncoroni, X. Wang:
Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature
(Submitted Paper) 2024

G. Catino, A. Roncoroni:
A closure result for globally hyperbolic spacetimes
Proc. Amer. Math. Soc. Vol. 152, N. 12, p. 5339-5354, 2024

F. Cavalletti, D. Manini, A. Mondino:
Optimal transport on null hypersurfaces and the null energy condition
(preprint) 2024

F. Cavalletti, A. Mondino:
A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds
(Preprint) 2024

P. Cesana, L. De Luca, M. Morandotti:
Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
SIAM Journal on Mathematical Analysis Vol. 56, N. 1, p. 79-136, 2024

P. Cesana, A. Grillo, M. Morandotti, A. Pastore:
Space-time evolution of Volterra disclinations
(Submitted Paper) 2024

A. Cesaroni, M. Cirant:
Stationary equilibria and their stability in a Kuramoto MFG with strong interaction
Comm. Partial Differential Equations 2024

A. Cesaroni, M. Novaga:
Minimal periodic foams with fixed inradius
(Preprint) 2024

A. Cesaroni, M. Novaga:
Periodic partitions with minimal perimeter
Nonlinear Analysis Vol. 243, N. Paper n. 113522, p. 16 pages, 2024

A. Cesaroni, M. Novaga:
Stability of the ball under volume preserving fractional mean curvature flow
Adv. Calc. Var. Vol. 17, N. 2, p. 503-520, 2024

A. Chambolle, D. De Gennaro, M. Morini:
Discrete-to-continuous crystalline curvature flows
(Preprint) 2024

A. Chambolle, M. Novaga:
$L^1$-gradient flow of convex functionals
SIAM J. Math. Anal. Vol. 56, N. 5, p. 5747-5781, 2024

H. Chan, M. Freguglia, M. Inversi:
$$-Limsup estimate for a nonlocal approximation of the Willmore
  functional
(preprint) 2024

H. Chen, G. Dong, J. A. Iglesias, W. Liu, Z. Xie:
Second-order flows for approaching stationary points of a class of  non-convex energies via convex-splitting schemes
(Submitted Paper) 2024

D. Cherkashin, E. Paolini, Y. Teplitskaya:
Steiner trees with infinitely many terminals on the sides of an angle
(preprint) 2024

V. Chiadò Piat, V. De Cicco, A. Melchor Hernandez:
Relaxation for degenerate nonlinear functionals in the onedimensional case
(Preprint) 2024

M. T. Chiri, M. Zhang:
On  backward Euler approximations for systems of conservation laws
Nonlinear Differential Equations and Applications (Accepted Paper) 2024

G. Chiriatti, M. Fasiello, R. Grande, E. Pascali:
Self referred equations with an integral boundary condition
2024

L. Chizat, M. Colombo, X. Fernández-Real, A. Figalli:
Infinite-width limit of deep linear neural networks
Comm. Pure Appl. Math. (Accepted Paper) 2024

M. Cicalese, T. Heilmann:
Surfactants in a non-local model for phase transitions
(Preprint) 2024

M. Cicalese, T. Heilmann:
Surfactants in the Two Gradient Theory of Phase Transitions
(preprint) 2024

M. Cicalese, T. Heilmann, A. Kubin, F. Onoue, M. Ponsiglione:
A notion of $s$-fractional mass for $1$-currents in higher codimension
(Preprint) 2024

M. Cicalese, A. Kubin:
Discrete and Continuum Area-Preserving Mean-Curvature Flow of Rectangles
Ann. Scuola Norm. Sup. Pisa Cl. Sci (Accepted Paper) 2024

S. Cingolani, M. Gallo, K. Tanaka:
Infinitely many free or prescribed mass solutions for fractional Hartree  equations and Pohozaev identities
Advanced Nonlinear Studies Vol. 24, N. 2, p. 303-334, 2024

E. Cinti, F. Prinari:
On fractional Hardy-type inequalities in general open sets
(preprint) 2024

M. Cirant, A. Cosenza, G. Verzini:
Ergodic Mean Field Games: existence of local minimizers up to the  Sobolev critical case
Calc. Var. Vol. 63, 2024

G. Ciraolo, M. Cozzi, M. Perugini, L. Pollastro:
A quantitative version of the Gidas-Ni-Nirenberg Theorem
Journal of Functional Analysis 2024

S. Cito, A. Giacomini:
Minimization of the $k$-th eigenvalue of the Robin-Laplacian with perimeter constraint
Calculus of Variations and Partial Differential Equations 2024

S. Cito, G. Paoli, G. Piscitelli:
A stability result for the first Robin-Neumann eigenvalue: A double  perturbation approach
Communications in Contemporary Mathematics 2024

G. Citti, N. Dirr, F. Dragoni, R. Grande:
Horizontal mean curvature flow as a scaling limit of a mean field
  equation in the Heisenberg group
(preprint) 2024

G. M. Coclite, N. De Nitti:
On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws
(Submitted Paper) 2024

G. M. Coclite, S. Dipierro, F. Maddalena, G. Orlando, E. Valdinoci:
Comparison between solutions to the linear peridynamics model and
  solutions to the classical wave equation
(preprint) 2024

G. E. Comi, G. P. Leonardi:
Measures in the dual of $BV$: perimeter bounds and relations with divergence-measure fields
Nonlinear Analysis (Accepted Paper) p. 42, 2024

G. E. Comi, G. Stefani:
Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula
Boll. Unione Mat. Ital. Vol. 17, N. 2, p. 259281, 2024

G. Conforti, R. C. Kraaij, L. Tamanini, D. Tonon:
Hamilton--Jacobi equations for Wasserstein controlled gradient flows:  existence of viscosity solutions
(preprint) 2024

A. Corbo Esposito, V. Mottola, G. Piscitelli, A. Tamburrino:
Tomography of nonlinear materials via the Monotonicity Principle
(preprint) 2024

F. Corni, V. Magnani:
Symmetry results for the area formula in homogeneous groups
(Preprint) 2024

D. Corona, A. Della Corte:
Mixing properties of erasing interval maps
Ergodic Theory and Dynamical Systems Vol. 44, N. 2, p. 408--431, 2024

D. Corona, S. Nardulli, R. Oliver-Bonafoux, G. Orlandi, P. Piccione:
Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary
ArXiv (Submitted Paper) p. 48, 2024

D. Corro, J. Núñez-Zimbrón, J. Santos-Rodríguez:
Cohomogeneity one RCD-spaces
(preprint) 2024

A. Cosenza, M. Goldman, M. Koser:
New dimensional bounds for a branched transport problem
(preprint) 2024

G. Cozzi, F. Santambrogio:
Long-Time Asymptotics of the Sliced-Wasserstein Flow
SIAM J. Im. Sciences (Accepted Paper) 2024

G. Crippa, G. Stefani:
An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
Calc. Var. Partial Differential Equations Vol. 63, N. 7, p. 168, 31 pp., 2024

V. Crismale, L. De Luca, R. Scala:
Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes
(Preprint) 2024

R. Cristoferi, G. Fissore:
Two dimensional graph model for epitaxial crystal growth with adatoms
(Submitted Paper) 2024

R. Cristoferi, G. Fissore, M. Morandotti:
Geometrically constrained walls in three dimensions
(Preprint) 2024

R. Cristoferi, M. G. Mora, L. Scardia:
Shape optimisation for nonlocal anisotropic energies
(Submitted Paper) 2024

A. Cucinotta:
Convergence of the area functional on spaces with lower Ricci bounds and applications
(Preprint) 2024

A. Cucinotta:
Minimal Surface Equation and Bernstein Property on RCD spaces
(Preprint) 2024

A. Cucinotta:
On the properties of the set where a generalized function of bounded variation takes an infinite value
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 2024

A. Cucinotta, F. Fiorani:
On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound
(Preprint) 2024

A. Cucinotta, A. Mondino:
A splitting theorem for manifolds with a convex boundary component and applications to the half-space property
(Preprint) 2024

A. Cucinotta, A. Mondino:
Half Space Property in RCD(0,N) spaces
(Preprint) 2024

L. D'Elia, M. Eleuteri, E. Zappale:
Homogenization of supremal functionals in vectorial setting (via  power-law approximation)
Analysis and Applications (preprint) 2024

G. Dal Maso, D. Donati:
Gamma-convergence of quadratic functionals perturbed by bounded linear functionals
Nonlinear Analysis Vol. 238, N. 113395, 2024

G. Dal Maso, D. Donati:
Homogenisation of vectorial free-discontinuity functionals with cohesive
  type surface terms
(preprint) 2024

G. Dal Maso, R. Toader:
Gamma-convergence and integral representation for a class of free discontinuity functionals
J. Convex Anal. (Accepted Paper) Vol. 31, N. 2, p. 411-476, 2024

M. Datres, A. Figalli, G. P. Leonardi, D. Sutter:
A Two-Scale Complexity Measure for Deep Learning Models
NeurIPS (Accepted Paper) 2024

N. David, A. R. Mészáros, F. Santambrogio:
Improved convergence rates for the Hele-Shaw limit in the presence of confining potentials
(Preprint) 2024

N. David, F. Santambrogio, M. Schmidtchen:
Uniform regularity estimates for nonlinear diffusion-advection equations in the hard-congestion limit
(Preprint) 2024

A. Davini:
Stochastic homogenization of  nondegenerate viscous HJ equations in 1d
(Submitted Paper) 2024

A. Davini:
Stochastic homogenization of a class of quasiconvex and possibly  degenerate viscous HJ equations in 1d
J. Convex Anal. (Accepted Paper) 2024

E. Davoli, G. Di Fratta, A. Fiorenza, L. Happ:
A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents
NoDEA 2024

E. Davoli, G. Di Fratta, R. Giorgio:
A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
SIAM Journal on Mathematical Analysis (SIMA) (Accepted Paper) 2024

E. Davoli, R. Ferreira, I. Fonseca, J. A. Iglesias:
Dyadic partition-based training schemes for TV/TGV denoising
Journal of Mathematical Imaging and Vision (Accepted Paper) 2024

E. Davoli, C. Gavioli, L. Lombardini:
Existence results for Cahn-Hilliard-type systems driven by nonlocal integrodifferential operators with singular kernels
Nonlinear Analysis, Theory, Methods, and Applications (Accepted Paper) 2024

E. Davoli, C. Gavioli, V. Pagliari:
A homogenization result in finite plasticity
Calc. Var. PDEs (Accepted Paper) Vol. 63, p. 72, 2024

E. Davoli, L. Happ:
Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory
(Submitted Paper) 2024

E. Davoli, G. Marino, J. F. Pietschmann:
Existence and local asymptotics for a system of cross-diffusion equations with nonlocal Cahn-Hilliard terms
(Submitted Paper) 2024

E. Davoli, K. Nik, U. Stefanelli, G. Tomassetti:
An existence result for accretive growth in elastic solids
M3AS (Accepted Paper) 2024

V. De Cicco, F. Serra Cassano:
Relaxation and optimal finiteness domain for degenerate quadratic functionals - one dimensional case
ESAIM: Control, Optimisation and Calculus of Variations (Accepted Paper) 2024

P. De Donato:
The Stepanov theorem for Q-valued functions
(preprint) 2024

F. De Filippis, F. Leonetti:
No Lavrentiev gap for some double phase integrals
Advances in Calculus of Variations Vol. 17, N. 1, p. 165-194, 2024

F. De Filippis, F. Leonetti, G. Treu:
Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth
Advances in Nonlinear Analysis Vol. 13, N. 1, 2024

F. De Filippis, M. Piccinini:
Regularity for multi-phase problems at nearly linear growth
J. Differential Equations 2024

D. De Gennaro:
Minimizing Movements for Nonlinear and Nonlocal Mean Curvature Flows
(Preprint) 2024

C. De Lellis:
Caffarelli's work on elliptic free boundary problems
(Preprint) 2024

C. De Lellis, F. Glaudo, A. Massaccesi, D. Vittone:
Besicovitch's $\frac{1}{2}$ problem and linear programming
(Preprint) 2024

C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard:
Excess decay for minimizing hypercurrents mod $2Q$
Nonlinear Anal. Vol. 247, 2024

C. De Lellis, P. Minter, A. Skorobogatova:
Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$
(Preprint) 2024

C. De Lellis, S. Nardulli, S. Steinbrüchel:
An Allard-type boundary regularity theorem for $2d$ minimizing currents  at smooth curves with arbitrary multiplicity
Publications Mathématiques de l' I.H.É.S. p. 101, 2024

A. De Luca:
A note on geometric assumptions for unique continuation from the edge of
  a crack
(preprint) 2024

A. De Luca, V. Felli, S. Vita:
Unique continuation from conical boundary points for fractional
  equations
(preprint) 2024

A. De Luca, R. Folino, M. Strani:
Layered patterns in reaction-diffusion models with Perona-Malik
  diffusions
Milan Journal of Mathematics 2024

G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello:
Can you hear the Planck mass?
Journal of High Energy Physics 2024

L. De Masi, A. Marchese:
A refined Lusin type theorem for gradients
(Preprint) 2024

N. De Nitti, D. Serre, E. Zuazua:
Pointwise constraints for scalar conservation laws with positive wave velocity
(Preprint) 2024

L. De Pascale, L. Nenna:
A variational formulation of a Multi-Population Mean Field Games with non-local interactions
(Preprint) 2024

T. De Pauw:
Undecidably semolicalizable metric measure spaces
Commun. Contemp. Math. Vol. 26, N. 4, 2024

G. De Philippis, A. De Rosa, Y. Li:
Existence and regularity of min-max anisotropic minimal hypersurfaces
(preprint) 2024

G. De Philippis, A. Halavati, A. Pigati:
Decay of excess for the abelian Higgs model
(Submitted) 2024

G. De Philippis, Y. Shenfeld:
Optimal transport maps, majorization, and log-subharmonic measures
(Preprint) 2024

G. De Philippis, L. Spolaor, B. Velichkov:
(Quasi-)conformal methods in two-dimensional free boundary problems
J. Eur. Math. Soc. 2024

N. De Ponti, S. Pigola , G. Veronelli:
Unique continuation at infinity: Carleman estimates on general warped cylinders
International Mathematics Research Notices (Accepted Paper) 2024

N. De Ponti, G. Stefani:
Properties of Lipschitz smoothing heat semigroups
(Submitted Paper) 2024

A. De Rosa:
On the Theory of Anisotropic Minimal Surfaces
Notices Amer. Math. Soc. 2024

A. De Rosa, A. Khajavirad, Y. Wang:
On the power of linear programming for K-means clustering
(preprint) 2024

A. De Rosa, Y. Lei, R. Young:
Construction of fillings with prescribed Gaussian image and applications
(preprint) 2024

A. De Rosa, R. Neumayer:
Local Minimizers of the Anisotropic Isoperimetric Problem on Closed  Manifolds
Indiana Univ. Math. J. 2024

S. Della Corte, A. Diana, C. Mantegazza:
Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces
Note di Matematica Vol. 44, N. 1, p. 53-83, 2024

M. Di Francesco, S. Fagioli, E. Radici:
Measure solutions, smoothing effect, and deterministic particle  approximation for a conservation law with nonlocal flux
(Submitted Paper) 2024

G. Di Fratta, A. Fiorenza:
A generalized radial integration by parts formula and its applications to Caffarelli-Kohn-Nirenberg inequalities
(Preprint) 2024

G. Di Fratta, F. Rybakov, V. Slastikov:
Reduced theory of symmetric and antisymmetric exchange interactions in nanowires
(Preprint) 2024

M. Di Marco, A. Julia, S. Nicolussi Golo, D. Vittone:
Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
(preprint) 2024

M. Di Marco, A. Pinamonti, D. Vittone, K. Zambanini:
Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups
(Preprint) 2024

S. Di Marino, M. Lewin, L. Nenna:
The ground state energy is not always convex in the number of electrons
The Journal of Physical Chemistry (Accepted Paper) 2024

S. Di Marino, L. Portinale, E. Radici:
Optimal transport with nonlinear mobilities: a deterministic particle  approximation result
Advances in Calculus of Variations 2024

S. Dipierro, M. Novaga, E. Valdinoci:
Time-fractional Allen-Cahn equations versus powers of the mean curvature
Physica D Vol. 463, N. Article 134172, 2024

E. Dolera, S. Favaro, E. Mainini:
Strong posterior contraction rates via Wasserstein dynamics
Probab. Theory Relat. Fields Vol. 189, p. 659720, 2024

P. Dondl, A. Maione, S. Wolff-Vorbeck:
Phase field model for multi-material shape optimization of inextensible rods
ESAIM: Control, Optimisation and Calculus of Variations Vol. 30, N. 50, p. 26, 2024

A. F. Donnarumma:
$$-convergence and stochastic homogenization of second order  singular perturbation models for phase transitions
Journal of Nonlinear Science 2024

F. Dragoni, N. Garofalo, G. Giovannardi, P. Salani:
A fundamental solution for a subelliptic operator in Finsler geometry
(preprint) 2024

F. Dragoni, Q. Liu, Y. Zhang:
Horizontal semiconcavity for the square of Carnot-Carath\'eodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations
(Preprint) 2024

M. Duerinckx, A. Gloria, M. Ruf:
A spectral ansatz for the long-time homogenization of the wave equation
J. Ec. Polytech. Math. (Accepted Paper) 2024

A. Dumas, F. Santambrogio:
Deterministic Mean Field Games with jumps and mixed variational structure
(Submitted Paper) 2024

J. Duran Lamiel, A. Mas:
Convergence of generalized MIT bag models to Dirac operators with zigzag  boundary conditions
Analysis and Mathematical Physics Vol. 14, N. 85, p. 23, 2024

R. Durastanti, R. Magnanini:
Nonlinear asymptotic mean value characterizations of holomorphic  functions
ESAIM: Control, Optimisation and Calculus of Variations Vol. 30, N. 46, 2024

S. Dweik:
Optimal holes for the $W^{1,\infty}$ Poincaré inequality
(Preprint) 2024

S. Dweik:
Weighted total variation minimization problem with mixed Dirichlet-Neumann boundary conditions
(Submitted Paper) 2024

S. Dweik, P. Rybka, A. Sabra:
The non-convex planar Least Gradient Problem
(preprint) 2024

B. Dyda, S. Jarohs, F. Sk:
The Dirichlet problem for the Logarithmic $p$-Laplacian
(Preprint) p. 51, 2024

S. Eberle, A. Figalli, G. S. Weiss:
Complete classification of global solutions to the obstacle problem
Ann. of Math. (Accepted Paper) 2024

N. Edelen, L. Spolaor, B. Velichkov:
A strong maximum principle for minimizers of the one-phase Bernoulli problem
Indiana Univ. Math. J. 2024

C. Elbar:
Sobolev estimates for the Keller-Segel system and applications to the  JKO scheme
(preprint) 2024

Emmanuel Wend-Benedo Zongo, Pierre Aime Feulefack:
Bifurcation results and multiple solutions for the fractional
  $(p,q)$-Laplace operators
(preprint) 2024

D. Engl, C. Kreisbeck, M. Morandotti:
Characterizing BV- and BD-ellipticity for a class of positively  1-homogeneous surface energy densities
J. Convex Anal. (Accepted Paper) 2024

S. Eriksson-Bique, A. Pinamonti, G. Speight:
Universal Differentiability Sets in Laakso Space
(Preprint) 2024

L. Esposito, L. Lamberti, G. Pisante:
Epsilon-regularity for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position
(Submitted Paper) 2024

F. Essebei, G. Giovannardi, S. Verzellesi:
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups
NoDEA Nonlinear Differential Equations Appl. 2024

F. Ferrari, N. Forcillo, D. Giovagnoli, D. Jesus:
Free boundary regularity for the inhomogeneous one-phase Stefan problem
(preprint) 2024

F. Ferrari, D. Giovagnoli:
Some counterexamples to Alt-Caffarelli-Friedman monotonicity formulas in  Carnot groups
Annali di Matematica Pura ed Applicata (1923 -) 2024

R. Ferreira, J. Matias, E. Zappale:
Junction in a thin multi-domain for nonsimple grade two materials in BH
(Preprint) 2024

L. Ferreri, D. Mazzoleni, B. Pellacci, G. Verzini:
Asymptotic  location and shape of the optimal favorable region  in a  Neumann spectral problem
(Preprint) 2024

L. Ferreri, L. Spolaor, B. Velichkov:
On the boundary branching set of the one-phase problem
(preprint) 2024

L. Ferreri, L. Spolaor, B. Velichkov:
On the fine structure of the solutions to nonlinear thin two-membrane
  problems in 2D
(preprint) 2024

L. Ferreri, L. Spolaor, B. Velichkov:
Unique continuation for nonlinear variational problems
(preprint) 2024

E. Ficola, T. Schmidt:
Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data
(Submitted Paper) 2024

A. Figalli, A. Guerra, S. Kim, H. Shahgholian:
Constraint Maps and Free Boundaries
Preprint (Lecture Notes) 2024

A. Figalli, A. Guerra, S. Kim, H. Shahgholian:
Constraint maps with free boundaries: the Bernoulli case
J. Eur. Math. Soc. (JEMS) (Accepted Paper) 2024

A. Figalli, A. Guerra, S. Kim, H. Shahgholian:
Constraint maps: singularities vs free boundaries
(Submitted Paper) 2024

A. Figalli, J. P. G. Ramos:
Improved stability versions of the PrékopaLeindler inequality
(Accepted Paper) 2024

A. Figalli, X. Ros-Oton, J. Serra:
The singular set in the Stefan problem
J. Amer. Math. Soc 2024

A. Figalli, H. Shahgholian, K. Sunghan:
Constraint maps with free boundaries: the obstacle case
Arch. Ration. Mech. Anal. 2024

A. Figalli, Y. R. Y. Zhang:
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations
Comm. Pure Appl. Math. 2024

D. Finco, L. Tentarelli, A. Teta:
Well-posedness of the three-dimensional NLS equation with  sphere-concentrated nonlinearity
Nonlinearity Vol. 37, N. 1, p. art.015009, 48p, 2024

J. Fischer, S. Hensel, A. Marveggio, M. Moser:
Stability of multiphase mean curvature flow beyond circular topology changes
(Preprint) 2024

G. Fissore:
Phase-field approximation of an epitaxial growth model with adatoms
(Preprint) 2024

I. Fleschler:
Allard-type regularity theory for area minimizing currents at boundaries  with arbitrary multiplicity
(Proceedings) 2024

I. Fleschler:
On the uniqueness of tangent cones to area minimizing currents at  boundaries with arbitrary multiplicity
(Preprint) 2024

I. Fleschler, R. Resende:
On the regularity of area minimizing currents at boundaries with arbitrary multiplicity
(Preprint) 2024

E. Florit-Simon:
Weyl Law and convergence in the classical limit for min-max nonlocal
  minimal surfaces
(preprint) 2024

V. Franceschi, R. Monti, A. Socionovo:
Mean value formulas on surfaces in Grushin spaces
Annales Fennici Mathematici Vol. 49, N. 1, p. 241-255, 2024

V. Franceschi, A. Pinamonti, G. Saracco, G. Stefani:
The Cheeger problem in abstract measure spaces
J. London Math. Soc. (2) Vol. 119, N. 1, p. e12840, 2024

Francesco C. De Vecchi, C. Rigoni:
A description based on optimal transport for a class of stochastic
  McKean-Vlasov control problems
(preprint) 2024

G. Franzina:
Boundary vorticity for incompressible 2D flows
Zeitschrift für angewandte Mathematik und Physik ZAMP (Accepted Paper) 2024

M. Freguglia, A. Malchiodi:
Yamabe metrics on conical manifolds
(Submitted Paper) p. 40, 2024

M. Friedrich, L. Kreutz, K. Zemas:
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids
Math. Models Methods Appl. Sci. (M3AS) Vol. 34, N. 04, p. 723-777, 2024

M. Friedrich, L. Kreutz, K. Zemas:
Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces
Ann. Inst. H. Poincaré Anal. Non Linéaire (C) (Accepted Paper) p. 51, 2024

M. Friedrich, J. Seutter:
Atomistic-to-continuum convergence for quasi-static crack growth in  brittle materials
(Submitted Paper) 2024

N. Fusco, V. Julin, M. Morini:
The isoperimetric inequality for the capillary energy outside convex cylinders
(Submitted Paper) 2024

N. Fusco, F. Maggi, M. Morini, M. Novack:
Rigidity and large volume residues in exterior isoperimetry for convex sets
Advances in Mathematics 2024

M. Gallo:
Nonlocal elliptic PDEs with general nonlinearities
(Ph.D. Thesis) 2024

M. Gallo, S. J. N. Mosconi, M. Squassina:
Power law convergence and concavity for the logarithmic Schrödinger equation
(Preprint) p. 53, 2024

M. Gallo, M. Squassina:
Concavity and perturbed concavity for $p$-Laplace equations
(Submitted Paper) p. 53, 2024

C. Gambicchia, A. Pratelli:
The sharp quantitative barycentric isoperimetric inequality for bounded sets
(Preprint) 2024

L. Ganedi, A. Marveggio, K. Stinson:
Convergence of a heterogeneous Allen-Cahn equation to weighted mean
  curvature flow
(preprint) 2024

A. Garroni, M. Petrache, E. Spadaro:
Clearing-out of dipoles for minimisers of 2-dimensional discrete
  energies with topological singularities
(preprint) 2024

R. Gasteldello, A. Henrot, I. Lucardesi:
About the Blaschke-Santalo diagram of area, perimeter and moment of inertia
Journal of Convex Analysis (Accepted Paper) 2024

C. Gavioli, L. Happ, V. Pagliari:
An extension operator for manifold-valued Sobolev maps on perforated  domains
(Submitted Paper) 2024

N. Gavitone, G. Piscitelli:
An isoperimetric inequality for the first Robin-Dirichlet eigenvalue of
  the Laplacian
(preprint) 2024

L. Gennaioli, N. Gigli, H. C. Zhang, X. P. Zhu:
Comments on the regularity of harmonic maps between singular spaces
(preprint) 2024

A. Gerolin, M. Petrache, A. Vargas-Jimenez:
Existence and uniqueness of Monge minimizers for a Multi-marginal
  Optimal Transport problem with intermolecular interactions cost
(preprint) 2024

D. Giachetti, F. Oliva, F. Petitta:
Bounded solutions for non-parametric mean curvature problems with  nonlinear terms
J. Geom. Anal. (Accepted Paper) 2024

P. Gidoni, M. Morandotti, M. Zoppello:
Gait controllability of length-changing slender microswimmers
(Submitted Paper) 2024

N. Gigli, A. Mondino, D. Semola:
On the notion of Laplacian bounds on $\mathrm{RCD}$ spaces and applications
Proc. Amer. Math. Soc. Vol. 152, p. 829--841, 2024

N. Gigli, S. Vincini:
Stability of the heat flow under convergence in concentration and
  consequences
(preprint) 2024

N. Gigli, I. Y. Violo:
Notes on the Cheeger and Colding version of the Reifenberg theorem for  metric spaces
(preprint) 2024

J. Ginster, A. Pesic, B. Zwicknagl:
Nonlinear interpolation inequalities with fractional Sobolev norms and pattern formation in biomembranes
(Preprint) 2024

J. Ginster, A. Ruland, A. Tribuzio, B. Zwicknagl:
On the Effect of Geometry on Scaling Laws for a Class of Martensitic
  Phase Transformations
(preprint) 2024

D. Giovagnoli, D. Jesus:
A fully nonlinear transmission problem degenerating on the interface
(preprint) 2024

G. Giovannardi, A. Pinamonti, J. Pozuelo, S. Verzellesi:
The prescribed mean curvature equation for $t$-graphs in the Sub-Finsler Heisenberg group $\mathbb{H}^n$
Adv. Math. 2024

G. Giovannardi, A. Pinamonti, S. Verzellesi:
Curvature estimates for minimal hypersurfaces in the Heisenberg group
(Preprint) 2024

P. Gladbach, H. Olbermann:
Connecting disclinations by ridges
(preprint) 2024

F. Gmeineder, P. Lewintan, J. Van Schaftingen:
Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities
(preprint) 2024

M. Gobbino, N. Picenni:
Monotonicity properties of limits of solutions to the semi-discrete  scheme for the Perona-Malik equation
SIAM J. Math. Anal. Vol. 56, N. 2, p. 20342062, 2024

A. Goffi:
High-order estimates for fully nonlinear equations under weak concavity assumptions
Journal de Mathématiques Pures et Appliquées Vol. 182, p. 223-252, 2024

A. Goffi:
Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions
Bulletin of the London Mathematical Society 2024

A. Goffi:
Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations
(Submitted Paper) 2024

A. Goffi, G. Tralli:
Global geometric estimates for the heat equation via duality methods
(Preprint) 2024

M. Goldman, M. Huesmann, D. Trevisan:
Asymptotics for Random Quadratic Transportation Costs
(preprint) 2024

M. Goldman, L. Koch:
Partial regularity for optimal transport with $p$-cost away from fixed points
(Submitted Paper) 2024

M. Goldman, B. Merlet:
Set-decomposition of normal rectifiable $G$-chains via an abstract decomposition principle
Revista Matemática Iberoamericana 2024

M. Goldman, M. Novaga, B. Ruffini:
A charged liquid drop model with Willmore energy
(Submitted Paper) 2024

P. J. Graber, A. R. Mészáros:
On Some Mean Field Games and Master Equations through the lens of conservation laws
Math. Ann. (Accepted Paper) 2024

A. Guerra, X. Lamy, K. Zemas:
On the existence of degenerate solutions of the two-dimensional H-system
(Preprint) 2024

A. Guerra, X. Lamy, K. Zemas:
Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension
Trans. Amer. Math. Soc. (Accepted Paper) p. 23 pages, 2024

A. Guerra, R. Tione:
Regularity and compactness for critical points of degenerate polyconvex  energies
Arch. Rational Mech. Anal. 2024

N. Guglielmi, F. P. Maiale:
Gripenberg-like algorithm for the lower spectral radius
(Submitted Paper) 2024

M. Gößwein, M. Novaga, P. Pozzi:
Stability analysis for the anisotropic curve shortening flow of planar networks
Partial Differential Equations and Applications Vol. 5, N. Paper n. 28, 2024

B. Güneysu, M. Marot:
A note on the scattering theory of Kato-Ricci manifolds
Rocky Mountain Journal of Mathematics (Accepted Paper) 2024

H. Hajaiej, R. Kumar, T. Mukherjee, L. Song:
Existence and non-existence results to a mixed Schrodinger system in a  plane
Asymptotic Analysis (Accepted Paper) 2024

B. Han:
ABP estimate on metric measure spaces via optimal transport
(Preprint) 2024

B. Han:
On the asymptotic behaviour of the fractional Sobolev seminorms: a geometric approach
Journal of Functional Analysis 2024

B. Han:
Sharp and rigid isoperimetric inequality in metric  measure spaces with non-negative Ricci curvature
(Preprint) 2024

B. Han, D. Liu, Z. Zhu:
On the geometry of Wasserstein barycenter I
(Preprint) 2024

B. Han, A. Pinamonti, Z. Xu, K. Zambanini:
Maz'ya - Shaposhnikova meet Bishop - Gromov
Potential Analysis (Accepted Paper) 2024

B. Han, Z. Xu:
Sharp uncertainty principles on metric measure spaces
Calculus of Variations and Partial Differential Equations 2024

X. He, Y. Meng, M. Squassina:
Normalized solutions for a fractional Schrodinger-Poisson system with critical growth
(Preprint) p. 43, 2024

A. Henrot, A. Lemenant, Y. Privat:
Minimization of the first eigenvalue for the Lamé system
(Preprint) 2024

J. Hiew, L. Nenna, B. Pass:
An ordinary differential equation for entropic optimal transport and its linearly constrained variants
(Preprint) 2024

S. Honda, A. Mondino:
Gap phenomena under curvature restrictions
(Submitted Paper) 2024

S. Honda, A. Mondino:
Poincar\'e inequality for one forms on four manifolds with bounded Ricci curvature
(Preprint) 2024

Y. Huang, E. Mainini, J. L. Vazquez, B. Volzone:
Nonlinear aggregation-diffusion equations with Riesz potentials
J. Funct. Anal. Vol. 287, N. 2, 2024

R. Indergand, D. Kochmann, A. Ruland, A. Tribuzio, C. Zillinger:
On a $T_3$-Structure in Geometrically Linearized Elasticity: Qualitative
  and Quantitative Analysis and Numerical Simulations
(preprint) 2024

A. Jevnikar, Y. Sire, W. Yang:
Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities
Rev. Mat. Iberoam. (Accepted Paper) 2024

V. Julin, D. A. La Manna:
A priori estimates for the motion of charged liquid drop: A dynamic  approach via free boundary Euler equations
Journal of Mathematical Fluid Mechanics Vol. 26, p. Article number 48, 2024

V. Julin, M. Morini, F. Oronzio, E. Spadaro:
A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D
(Preprint) 2024

S. Kholmatov:
Consistency of minimizing movements with smooth  mean curvature flow of droplets with prescribed contact-angle in $\mathbb R^3$
(Preprint) 2024

S. Kholmatov:
Minimizing movements for forced anisotropic curvature flow of droplets
(Preprint) 2024

S. Kholmatov:
On the minimality of the Winterbottom shape
(Preprint) 2024

J. Kinnunen, A. Nastasi, C. Pacchiano Camacho:
Gradient higher integrability for double phase problems on metric  measure spaces
Proceedings of the AMS Vol. 152, p. 1233-1251, 2024

A. Kristály, A. Mondino:
Principal frequency of clamped plates on  RCD(0,N) spaces: sharpness, rigidity and stability
(Submitted Paper) 2024

M. Kruzik, E. Mainini:
Linearization of finite elasticity with surface tension
(Preprint) 2024

S. Krömer, M. Kruzik, M. Morandotti, E. Zappale:
Measure-valued structured deformations
Journal of Nonlinear Science (Accepted Paper) 2024

A. Kubin, D. A. La Manna:
Characterization of sets of finite local and non local perimeter via non local heat equation
(Submitted Paper) 2024

A. Kubin, V. Pagliari, A. Tribuzio:
Second-order asymptotics of fractional Gagliardo seminorms as $s\to1^-$
  and convergence of the associated gradient flows
(preprint) 2024

A. Kubin, L. Lussardi, M. Morandotti:
Direct minimization of the Canham-Helfrich energy on generalized Gauss  graphs
J. Geom. Anal. Vol. 34, N. 121, p. 1-25, 2024

R. Kumar, A. Sarkar:
Existence of Positive Solutions for Generalized Fractional  Brézis-Nirenberg Problem
Topological Methods in Nonlinear Analysis (Accepted Paper) 2024

C. Labourie, Y. Teplitskaya:
Optimal regularity for quasiminimal sets of codimension one in $\mathbb{R}^2$  and $\mathbb{R}^3$
(preprint) 2024

F. Lagoutière, F. Santambrogio, S. Tran Tien:
Vanishing viscosity limit for aggregation-diffusion equations
Journal de l'Ecole Polytechnique - Mathématiques (Accepted Paper) 2024

P. Lahti, A. Pinamonti, X. Zhou:
BV functions and nonlocal functionals  in metric measure spaces
J. Geom. Anal. (Accepted Paper) 2024

R. Lasarzik, E. Rocca, R. Rossi:
Existence and weak-strong uniqueness for damage systems in
  viscoelasticity
(preprint) 2024

H. Lavenant, J. Luckhardt, G. Mordant, B. Schmitzer, L. Tamanini:
The Riemannian geometry of Sinkhorn divergences
(preprint) 2024

G. Lazzaroni, P. Wozniak, C. I. Zeppieri:
Strong approximation of SBV functions with prescribed jump direction
Math. Nachr. (Accepted Paper) 2024

E. Le Donne, L. Nalon:
Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of
  step 2
(preprint) 2024

E. Le Donne, N. Paddeu, A. Socionovo:
Metabelian distributions and sub-Riemannian geodesics
(preprint) 2024

A. Lemenant, M. R. Pakzad:
The biharmonic optimal support problem
(Preprint) 2024

G. Leobacher, T. Rajala, A. Steinicke, J. Thuswaldner:
Measure and dimension theory of permeable sets and its applications to fractals
(Submitted Paper) 2024

G. P. Leonardi, G. Vianello:
A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
Transactions of the AMS (Accepted Paper) 2024

G. P. Leonardi, G. Vianello:
Free-Boundary Monotonicity for Almost-Minimizers of the Relative Perimeter
(Submitted Paper) 2024

C. Leone, G. Scilla, F. Solombrino, A. Verde:
Strong existence for free-discontinuity problems  with non-standard growth
(Preprint) 2024

A. Lerario, L. Rizzi, D. Tiberio:
Quantitative approximate definable choices
(preprint) 2024

A. Lerario, L. Rizzi, D. Tiberio:
Sard properties for polynomial maps in infinite dimension
(preprint) 2024

H. Liao, A. R. Mészáros, C. Mou, C. Zhou:
Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size
(Submitted Paper) 2024

B. Lledos, R. Marziani, H. Olbermann:
Interacting phase fields yielding phase separation on surfaces
(Preprint) 2024

R. Llerena:
Solutions for a two-phase free-boundary problem and for dynamic perfect elasto-plasticity
(Ph.D. Thesis) p. 159, 2024

R. Llerena, P. Piovano:
Solutions for a free-boundary problem modeling  multilayer films with coherent and incoherent interfaces
(Submitted Paper) p. 27, 2024

I. Lucardesi, D. Zucco:
Three quantitative versions of the Pál inequality
(preprint) 2024

L. Lussardi, A. Melchor Hernandez, M. Morandotti:
$\Gamma$-convergence of discrete energies modeling self-aggregation of stochastic particles
M3AS Vol. 34, N. 10, p. 24, 2024

T. Ma, E. Stepanov:
On eigenvalues and eigenfunctions of the operators defining multidimensional scaling on some symmetric spaces
(Preprint) 2024

F. Maddalena, D. Percivale, F. Tomarelli:
SIGNORINI PROBLEM AS A VARIATIONAL LIMIT OF OBSTACLE PROBLEMS IN NONLINEAR ELASTICITY
Mathematics in Engineering Vol. 6, N. 2, p. 261-304, 2024

F. Maggi, M. Novack:
Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature
Archive for Rational Mechanics and Analysis p. 69, 2024

M. Magnabosco, L. Portinale, T. Rossi:
The Brunn--Minkowski inequality implies the CD condition in weighted  Riemannian manifolds
Nonlinear Analysis 2024

V. Magnani, D. Tiberio:
The Michor-Mumford conjecture in Hilbertian H-type groups
(Submitted Paper) 2024

F. P. Maiale, G. Tortone, B. Velichkov:
The boundary Harnack principle on optimal domains
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 2024

E. Mainini, R. Ognibene, B. Volzone:
Local multiplicity for fractional linear equations with Hardy potentials
(preprint) 2024

E. Mainini, D. Percivale:
On the weighted inertia-energy approach to forced wave equations
J. Differ. Equ. Vol. 385, p. 121-154, 2024

J. Manfredi, S. Mukherjee:
Comparison principles for degenerate sub-elliptic equations in  non-divergence form
(preprint) 2024

C. Mantegazza, M. Novaga, A. Pluda, F. Schulze:
Evolution of Networks with Multiple Junctions
Astérisque Vol. 452, p. 254 pp., 2024

P. Marcellini, A. Nastasi, C. Pacchiano Camacho:
Unified a-priori estimates for minimizers under p,qgrowth and exponential growth
(Submitted Paper) 2024

A. Marchese, A. Merlo:
A simple proof of the $1$-dimensional flat chain conjecture
(Preprint) 2024

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 Vol. 154, N. 4, p. 1060--1094, 2024

M. Mayer, C. Zhu:
Prescribing scalar curvatures: loss of minimizability
(preprint) 2024

D. Mazzoleni, C. Muratov, B. Ruffini:
An optimal design problem for a charge qubit
(Submitted Paper) 2024

D. Mazzoleni, E. Radici, F. Riva:
On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation
(Submitted Paper) 2024

D. Mazzoleni, M. S. Santos, H. Tavares:
Free boundary regularity for a spectral optimal  partition problem with volume and inclusion constraints
(Preprint) 2024

D. Mazzoleni, G. Tortone, B. Velichkov:
On the dimension of the singular set in optimization problems with measure constraint
J. Convex Analysis: volume dedicated to Giuseppe Buttazzo on the occasion of his 70th birthday. 2024

A. Mielke, R. Rossi:
On De Giorgi's lemma for variational interpolants in metric and Banach
  spaces
(preprint) 2024

P. Minter, D. Parise, A. Skorobogatova, L. Spolaor:
Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents
(Preprint) 2024

O. Mischler, D. Trevisan:
Quantitative stability in optimal transport for general power costs
(preprint) 2024

A. Mondino, V. Ryborz:
On the equivalence of distributional and synthetic Ricci curvature lower bounds
(Preprint) 2024

A. Monteil, P. Pegon:
Mass concentration in rescaled first order integral functionals
Journal de l'École Polytechnique Vol. 11, p. pp. 431-472, 2024

G. Moscariello, G. Pascale:
Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in BMO
Calc. Var. Vol. 63, N. 80, 2024

D. Mucci:
The relaxed energy of fractional Sobolev maps with values into the circle
Journal of Functional Analysis Vol. 287, N. 110544, p. 53, 2024

D. Mucci, A. Saracco:
Conical points of convex surfaces: generalized unit normal and angle defect
(Submitted Paper) 2024

M. Muratori, T. Petitt, F. Quirós:
An inhomogeneous porous medium equation with non-integrable data:
  asymptotics
(preprint) 2024

C. Muratov, M. Novaga, P. Zaleski:
A variational model of charged drops in dielectrically matched binary  fluids: the effect of charge discreteness
Arch. Rat. Mech. Anal. Vol. 248, N. Paper n. 76, 2024

S. Nardulli, R. Resende:
Interior regularity of area minimizing currents within a $C^{2,\alpha}$-submanifold
(Submitted Paper) p. 31, 2024

A. Nastasi, C. Pacchiano Camacho:
Boundary regularity for quasiminima of double-phase problems on metric spaces
(Submitted Paper) 2024

A. Nastasi, C. Pacchiano Camacho:
Regularity results for quasiminima of a class of double phase problems
MATHEMATISCHE ANNALEN 2024

L. Nenna, P. Pegon:
Convergence rate of entropy-regularized multi-marginal optimal transport costs
Canadian Journal of Mathematics p. pp. 1-21, 2024

H. T. Nguyen, S. Wang:
Quantization of the energy for the inhomogeneous AllenCahn mean curvature
Mathematische Annalen Vol. 390, 2024

H. T. Nguyen, S. Wang:
Second order estimates for transition layers and a curvature estimate  for the parabolic Allen-Cahn
International Mathematics Research Notices 2024

F. Nobili:
An overview of the stability of Sobolev inequalities on Riemannian
  manifolds with Ricci lower bounds
(preprint) 2024

F. Nobili, M. Novaga:
Lattice tilings with minimal perimeter and unequal volumes
Calc. Var. Partial Differential Equations Vol. 63, N. Paper n. 246, 2024

F. Nobili, D. Parise:
Quantitative stability of Sobolev inequalities on compact Riemannian  manifolds
Int. Math. Res. Not. (Accepted Paper) 2024

F. Nobili, I. Y. Violo:
Fine Pólya-Szeg rearrangement inequalities in metric spaces and
  applications
(preprint) 2024

F. Nobili, I. Y. Violo:
Stability of Sobolev inequalities on Riemannian manifolds with Ricci  curvature lower bounds
Adv. Math. 2024

M. Novack:
On the relaxation of Gauss's capillarity theory under spanning conditions
Journal of Geometric Analysis 2024

M. Novack, D. Restrepo, A. Skorobogatova:
Free boundary regularity for semilinear variational problems with a topological constraint
(Preprint) 2024

M. Novaga, F. Onoue:
Local and Nonlocal Liquid Drop Models
Nonlinear Differential Equations and Applications, CIM Series in Mathematical Sciences Vol. 7, p. 221-234, 2024

M. Novaga, E. Paolini, E. Stepanov:
On the total surface area of potato packings
(Submitted Paper) 2024

R. Ognibene:
On asymptotics of Robin eigenvalues in the Dirichlet limit
(preprint) 2024

R. Ognibene, B. Velichkov:
Boundary regularity of the free interface in spectral optimal partition
  problems
(preprint) 2024

R. Ognibene, B. Velichkov:
Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems
(Preprint) 2024

J. Ok, G. Scilla, B. Stroffolini:
Partial regularity for degenerate systems of double phase type
(Preprint) 2024

J. Ok, G. Scilla, B. Stroffolini:
Partial regularity results for degenerate parabolic systems with general growth via caloric approximations
Calculus of Variations and Partial Differential Equations Vol. 63, N. 105, 2024

J. Ok, G. Scilla, B. Stroffolini:
Regularity theory for parabolic systems with Uhlenbeck structure
Journal de Mathématiques Pures et Appliquées Vol. 182, p. 116-163, 2024

G. Palatucci, M. Piccinini, L. Temperini:
Struwe's Global Compactness and energy approximation of the critical  Sobolev embedding in the Heisenberg group
Adv. Calc. Var. 2024

M. Parno, B. Zhou:
Efficient and Exact Multimarginal Optimal Transport with Pairwise Costs
Journal of Scientific Computing 2024

R. Paroni, M. Picchi Scardaoni:
From elastic shallow shells to beams with elastic hinges by $\Gamma $-convergence
Zeitschrift für angewandte Mathematik und Physik Vol. 75, N. 4, 2024

G. Pascale, M. Pozzetta:
Quantitative isoperimetric inequalities for classical capillarity problems
Calculus of Variations and Partial Differential Equations 2024

E. Pasqualetto:
Smooth approximations preserving asymptotic Lipschitz bounds
(preprint) 2024

P. Pegon, M. Petrache:
Optimal quantization with branched optimal transport distances
(Preprint) 2024

M. Perugini:
Minimally singular functions and the rigidity problem for Steiner's
  perimeter inequality
(preprint) 2024

M. Piccinini:
A limiting case in partial regularity for quasiconvex functionals
Math. in Eng. Vol. 6, N. 1, p. 1-27, 2024

N. Picenni:
New estimates for a class of non-local approximations of the total  variation
J. Funct. Anal. Vol. 287, 2024

A. Pinamonti, F. Serra Cassano, K. Zambanini:
On some intrinsic differentiability properties for Absolutely Continuous functions between Carnot groups and the Area formula
(Preprint) 2024

A. Pinamonti, G. Speight, S. Zimmerman:
Higher Order Whitney Extension and Lusin Approximation for Horizontal Curves in the Heisenberg Group
J. Math. Pures Appl. (Accepted Paper) 2024

A. Pinamonti, S. Verzellesi:
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups
(Submitted Paper) 2024

G. Piscitelli:
Symmetry results for a nonlocal eigenvalue problem
(preprint) 2024

A. Pluda, M. Pozzetta:
Lojasiewicz-Simon inequalities for minimal networks: stability and convergence
Mathematische Annalen Vol. 389, N. 3, p. 2729-2782, 2024

A. Pluda, Y. Tonegawa:
Coarsening phenomena in the network flow
(Preprint) 2024

J. Pozuelo, S. Verzellesi:
Existence and uniqueness of t-graphs of prescribed mean curvature in Heisenberg groups
(Submitted Paper) 2024

A. Pratelli, G. Saracco:
Cylindrical estimates for the Cheeger constant and applications
J. Math. Pures Appl. (9) (Accepted Paper) p. 13, 2024

F. Quattrocchi:
Asymptotics for Optimal Empirical Quantization of Measures
(preprint) 2024

F. Quattrocchi:
Variational structures for the Fokker--Planck equation with general
  Dirichlet boundary conditions
(preprint) 2024

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
SIAM J. Math. Anal. 2024

F. Riva, E. Rocca:
A rigorous approach to the sharp interface limit for phase-field models of tumor growth
(Preprint) 2024

M. Ruf, M. Schäffner:
New homogenization results for convex integral functionals and their  Euler-Lagrange equations
Calc. Var. Partial Differential Equations Vol. 63, p. art. 32, 2024

M. Ruf, M. Schäffner:
Upper bounds for the homogenization problem in nonlinear elasticity: the
  incompressible case
(preprint) 2024

A. Ruland, A. Tribuzio:
On the Scaling of the Cubic-to-Tetragonal Phase Transformation with  Displacement Boundary Conditions
J. Elast. 2024

F. Santambrogio, G. Toshpulatov:
Strong L^2 H^2 convergence of the JKO scheme for the Fokker-Planck equation
Arch. Rati. Mech. Anal. (Accepted Paper) 2024

M. Santilli:
Finite total curvature and soap bubbles with almost constant higher-order mean curvature
IMRN 2024

M. Santilli, P. Valentini:
Alexandrov sphere theorems for $ W^{2,n} $-hypersurfaces
(Submitted Paper) 2024

G. Saracco:
Geometric criteria for the existence of capillary surfaces in tubes
Expo. Math. Vol. 42, N. 3, p. 125547, 2024

G. Saracco, G. Stefani:
On the $N$-Cheeger problem for component-wise increasing norms
J. Math. Pures Appl. (9) Vol. 189, p. 103593, 2024

G. Saracco, G. Stefani:
On the monotonicity of weighted perimeters of convex bodies
Math. Nachr. Vol. 297, N. 4, p. 1444--1450, 2024

G. Savaré, G. E. Sodini:
A relaxation viewpoint to Unbalanced Optimal Transport: duality,  optimality and Monge formulation
Journal de Mathématiques Pures et Appliquées Vol. 188, p. 114-178, 2024

L. Scardia, K. Zemas, C. I. Zeppieri:
Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations
Probab. Theory Relat. Fields 2024

T. Schmidt:
Isoperimetric conditions, lower semicontinuity, and existence results  for perimeter functionals with measure data
Math. Ann. (Accepted Paper) 2024

T. Schmidt, J. H. Schütt:
Partial regularity for variational integrals with Morrey-Hölder zero-order terms, and the limit exponent in Massari's regularity theorem
(Submitted Paper) 2024

L. Shen, M. Squassina:
Normalized solutions to the Chern-Simons-Schrodinger system: the supercritical case
(Preprint) 2024

L. Shen, M. Squassina:
Planar Schrodinger-Poisson system with steep potential well: supercritical exponential case
(Preprint) 2024

M. Squassina, J. Zhang, X. Zhang:
Multiplicity of normalized solutions for the fractional Schrodinger equation with potentials
(Preprint) p. 19, 2024

S. Stuvard, Y. Tonegawa:
Dynamical instability of minimal surfaces at flat singular points
J. Differential Geom. (Accepted Paper) 2024

S. Stuvard, Y. Tonegawa:
End-time regularity theorem for Brakke flows
Math. Annalen 2024

W. Su, Y. R. Y. Zhang:
Carrot John domains in variational problems
(preprint) 2024

W. Su, Y. R. Y. Zhang:
John property of anisotropic minimal surfaces
(Submitted) 2024

S. Terracini, G. Tortone, S. Vita:
A priori regularity estimates for equations degenerating on nodal sets
(preprint) 2024

E. G. Tolotti:
Stability of the Von Kármán regime for thin plates under Neumann  boundary conditions
(preprint) 2024

S. Verzellesi:
New and old sub-Riemannian challenges bridging analysis and geometry
(Ph.D. Thesis) 2024

S. Verzellesi:
Variational properties of local functionals driven by arbitrary anisotropies
(Submitted Paper) 2024