T. V. ANOOP, M. Ghosh:
Reverse Faber-Krahn inequalities for Zaremba problems
Topol. Methods Nonlinear Anal. 2025

C. Afeltra, A. Pinamonti:
A CR structure with blowing up solutions to the CR Yamabe problem
(Preprint) 2025

S. Almi, R. Durastanti, F. Solombrino:
A Pontryagin Maximum Principle for agent-based models with convex state space
ESAIM: COCV (Accepted Paper) http://arxiv.org/abs/2402.13680 2025

F. Ancona, E. Marconi, L. Talamini:
Liouville type theorem and kinetic formulation for 2x2 systems of conservation laws
(Preprint) 2025

M. Astwood, M. Morandotti, H. Shum, M. Zoppello:
Control of Microparticles Through Hydrodynamic Interactions
Journal of Fluid Mechanics Vol. 1004, p. A4, 2025

Augusto C. Ponce, P. Bousquet, J. Van Schaftingen:
Generic topological screening and approximation of Sobolev maps
(preprint) http://arxiv.org/abs/2501.18149 2025

A. Baradat, A. Hraivoronska, F. Santambrogio:
Using Sinkhorn in the JKO scheme adds linear diffusion
(Preprint) 2025

D. Barilari, S. Flynn:
Refined Strichartz Estimates for sub-Laplacians in Heisenberg and H-type groups
(Preprint) http://arxiv.org/abs/2501.04415 p. 32, 2025

C. Bernardini, A. Cesaroni:
Boundary value problems for Choquard equations
Nonlinear Analysis Vol. 254, 2025

K. Bessas, G. Stefani:
Non-local $BV$ functions and a denoising model with $L^1$ fidelity
Adv. Calc. Var. Vol. 18, N. 1, p. 189-217, 2025

M. Bonacini, R. Cristoferi, I. Topaloglu:
A stability inequality for the planar lens partition
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2025

M. Bonacini, I. Topaloglu:
Stability and minimality of the ball for attractive-repulsive energies  with perimeter penalization
(preprint) http://arxiv.org/abs/2502.09406 2025

D. Bourne, M. Pearce, S. Roper:
Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport
ESAIM: Mathematical Modelling and Numerical Analysis (Accepted Paper) 2025

F. Bozzola:
Topological and capacitary methods for Poincaré-Sobolev inequalities
(Ph.D. Thesis) 2025

F. Bozzola, L. Brasco:
Variations on the capacitary inradius
(Preprint) 2025

L. Brasco:
Handbook of Calculus of Variations for absolute beginners
(Book) p. 569, 2025

C. Brena:
Perelman's entropy and heat kernel bounds on RCD spaces
(preprint) http://arxiv.org/abs/2503.03017 2025

C. Brena, C. De Lellis, S. Decio:
Remarks and Conjectures on Stationary Varifolds
(preprint) http://arxiv.org/abs/2503.00651 2025

C. Brena, C. De Lellis, F. Franceschini:
$C^\infty$ rectifiability of stationary varifolds
(preprint) http://arxiv.org/abs/2503.00649 2025

G. Brigati, J. Maas, F. Quattrocchi:
Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-Order Discrepancies
  Between Probability Measures
(preprint) http://arxiv.org/abs/2502.15665 2025

E. Bruè, A. Naber, D. Semola:
Fundamental Groups and the Milnor Conjecture
Ann. of Math. Vol. 201, p. 225-289, 2025

B. Bulanyi, B. Ruffini:
Threshold dynamics approximation schemes for anisotropic mean curvature flows with a forcing term
(Submitted Paper) 2025

M. Caponi, V. Crismale:
A rate-independent model for geomaterials under compression coupling  strain gradient plasticity and damage
ESAIM Control Optim. Calc. Var. Vol. 31, p. Article 14 (49 pp.), 2025

E. Caputo:
Geometric characterizations of ${\sf PI}$ spaces: an overview of some  modern techniques
(Submitted Paper) http://arxiv.org/abs/2501.19132 2025

M. Carducci, B. Velichkov:
Existence and regularity in the fully nonlinear one-phase free boundary
  problem
(preprint) http://arxiv.org/abs/2501.12101 2025

M. Carioni, J. A. Iglesias, Leonardo Del Grande, H. Schönberger:
Nonlocal perimeters and variations: Extremality and decomposability for
  finite and infinite horizons
(preprint) http://arxiv.org/abs/2502.05149 2025

M. Carozza, L. Esposito, L. Lamberti:
Quasiconvex Bulk and Surface Energies with subquadratic growth
(Preprint) 2025

J. B. Casteras, L. Monsaingeon, L. Nenna:
Large deviations for sticky-reflecting Brownian motion with boundary diffusion
(Preprint) 2025

F. Cavalletti, A. Mondino:
A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds
(Preprint) 2025

P. Celada, D. Mucci:
On generalized Varga materials
(Submitted Paper) 2025

A. Chambolle, V. Crismale:
A characterization of Generalized functions of Bounded Deformation
(Preprint) 2025

M. Cicalese, N. Fusco, V. Julin, A. Kubin:
Consistency for the surface diffusion flat flow in three dimensions
(Preprint) 2025

M. Cirant, A. Goffi:
Convergence rates for the vanishing viscosity approximation of Hamilton-Jacobi equations: the convex case
(Preprint) http://arxiv.org/abs/2502.15495 2025

G. M. Coclite, N. De Nitti, O. Mæhlen, E. Pacherie:
Zero diffusion-dispersion limit for the Benjamin--Ono--Burgers equation
(Submitted Paper) 2025

G. Crasta, V. De Cicco:
On the variational nature of the Anzellotti pairing
Adv. Calc. Var. 2025

E. Davoli, C. Gavioli, V. Pagliari:
Homogenization of high-contrast media in finite-strain elastoplasticity
Nonlinear Analysis: Real World Applications (Accepted Paper) 2025

A. De Rosa, R. Tione:
The double and triple bubble problem for stationary varifolds: the convex case
Transactions AMS 2025

G. Di Fratta, R. Giorgio, L. Lombardini:
Nonlocal Micromagnetics: Compactness Criteria, Existence of Minimizers, and Brown's Fundamental Theorem
(Preprint) 2025

G. Di Fratta, F. Solombrino:
Korn and Poincaré-Korn inequalities: A different perspective
Proceedings of the American Mathematical Society Vol. 153, N. 1, p. 143-159, 2025

M. Di Marco, A. Pinamonti, D. Vittone, K. Zambanini:
Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups
Adv. Calc. Var. (Accepted Paper) http://arxiv.org/abs/2410.01526 2025

A. F. Donnarumma:
$$-convergence and stochastic homogenization of second order  singular perturbation models for phase transitions
Journal of Nonlinear Science Vol. 35, N. 1, 2025

A. F. Donnarumma, M. Friedrich:
Stochastic homogenisation for functionals defined on asymptotically  piecewise rigid functions
Calculus of Variations and Partial Differential Equations 2025

S. Dweik:
The limit of a nonlocal $p-$Laplacian obstacle problem with nonhomogeneous term as $p \to \infty$
(Preprint) 2025

S. Dweik:
The optimal hole for the best Holder extension
Communications on Pure and Applied Analysis (Accepted Paper) 2025

C. Elbar, Poiatti:
Weak solutions and sharp interface limit of the anisotropic  Cahn-Hilliard equation with disparate mobility and inhomogeneous potential
(preprint) http://arxiv.org/abs/2502.11849 2025

V. Felli, L. Liverani, R. Ognibene:
Quantitative spectral stability for the Neumann Laplacian in domains  with small holes
J. Funct. Anal. 2025

V. Felli, B. Noris, R. Ognibene, G. Siclari:
Quantitative spectral stability for Aharonov-Bohm operators with many  coalescing poles
J. Eur. Math. Soc. (Accepted Paper) http://arxiv.org/abs/2306.05008 2025

A. Figalli, A. Guerra, S. Kim, H. Shahgholian:
Constraint Maps and Free Boundaries
to appear (Lecture Notes) 2025

A. Figalli, M. Tiba, P. Van Hintum:
Sharp Quantitative Stability for the Prékopa-Leindler and Borell-Brascamp-Lieb Inequalities
(Submitted Paper) 2025

I. Fleschler:
An essential one sided boundary singularity for a $3$-dimensional area
  minimizing current in $\mathbb{R}^5$
(preprint) http://arxiv.org/abs/2502.15047 2025

G. Floridia, F. Golgeleyen, M. Yamamoto:
Initial boundary value problems for time-fractional evolution equations  in Banach spaces
(preprint) http://arxiv.org/abs/2502.06554 2025

I. Fonseca, L. Kreutz, G. Leoni:
Second-Order -Limit for the CahnHilliard Functional with Dirichlet Boundary Conditions, I
(Submitted Paper) p. 57, 2025

I. Fonseca, L. Kreutz, G. Leoni:
Second-Order -Limit for the CahnHilliard Functional with Dirichlet Boundary Conditions, II
(Submitted Paper) p. 39, 2025

F. Freddi, F. Riva:
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates
(Submitted Paper) http://arxiv.org/abs/2503.02742 2025

Z. Gang, S. Wang:
Precise asymptotics near a pinched disk singularity formed by mean  curvature flow
Nonlinear Analysis Vol. 251, 2025

C. Gasparetto, F. Paiano, B. Velichkov:
Regularity for free boundary surfaces minimizing degenerate area
  functionals
(preprint) http://arxiv.org/abs/2503.02535 2025

L. Gennaioli, G. Stefani:
Sharp conditions for the BBM formula and asymptotics of heat content-type energies
(Preprint) http://arxiv.org/abs/2502.14655 2025

M. Ghosh:
Isoperimetric inequalities for the fractional composite membrane problem
Arch. Math. (Basel) 2025

L. Koch, M. Ruf, M. Schäffner:
On the Lavrentiev gap for convex, vectorial integral functionals
J. Funct. Anal. Vol. 288, 2025

L. Kreutz, B. Schmidt:
A note on the Winterbottom Shape
Proceedings of the Royal Society of Edinburgh Section A: Mathematics p. 14, 2025

A. Kroshnin, T. Ma, E. Stepanov:
On the signature of squared distance matrices of countable metric measure spaces
(Preprint) 2025

C. Labourie, A. Lemenant:
Uniform concentration property for Griffith almost-minimizers
J. Math. Pures Appl. Vol. 194, 2025

A. Lemenant, R. Mougenot:
Boundary regularity for the polyharmonic Dirichlet problem
(Preprint) 2025

G. P. Leonardi, G. Vianello:
Stability of axial free-boundary hyperplanes in circular cones
(Preprint) http://arxiv.org/abs/2502.21205v1 2025

R. Llerena, P. Piovano:
Variational modeling of multilayer films  with coherent and incoherent interlayer interfaces
Continuum Mech. Thermodyn. (Accepted Paper) Vol. 37-32, p. 26, 2025

E. Mainini, R. Ognibene, B. Volzone:
Local multiplicity for fractional linear equations with Hardy potentials
Calc. Var. and Partial Differential Equations 2025

A. C. G. Mennucci:
Some fundamental results on Probabilities and Stochastic Processes   in Infinite Dimensional Spaces and Manifolds
SN Partial Differential Equations and Applications (Submitted Paper) 2025

M. Morandotti, G. Orlando:
Replicator dynamics as the large population limit of a discrete Moran
  process in the weak selection regime: A proof via Eulerian specification
(preprint) http://arxiv.org/abs/2501.12688 2025

F. Nobili, M. Novaga, E. Paolini:
Periodic double tilings of the plane
(Submitted Paper) http://arxiv.org/abs/2502.08396 2025

M. Novack:
Regularity for Minimizers of a Planar Partitioning Problem with Cusps
Calculus of Variations and Partial Differential Equations 2025

M. Novaga, E. Paolini, V. M. Tortorelli:
Locally isoperimetric partitions
Trans. Amer. Math. Soc. Vol. 378, N. 4, p. 25172548, 2025

M. Novaga, L. Sciaraffia:
Singularities of the network flow with symmetric initial data
Interfaces and Free Boundaries Vol. 27, N. 1, p. 13-25, 2025

J. Ok, G. Scilla, B. Stroffolini:
Partial regularity for degenerate systems of double phase type
Journal of Differential Equations (Accepted Paper) 2025

A. Pacati, G. Tortone, B. Velichkov:
Some remarks on singular capillary cones with free boundary
(preprint) http://arxiv.org/abs/2502.07697 2025

G. Pascale:
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity
Nonlinear Analysis Vol. 251, N. 113685, 2025

G. Pascale:
Variational Results on Capillary Isoperimetric Problems and Liquid Drop Models
(Ph.D. Thesis) 2025

E. Pasqualetto, J. Taipalus:
Derivations and Sobolev functions on extended metric-measure spaces
(preprint) http://arxiv.org/abs/2503.02596 2025

A. Pinamonti, G. Stefani, S. Verzellesi:
Lipschitz approximation of almost $\mathbb G$-perimeter minimizing boundaries in plentiful groups
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (Accepted Paper) 2025

A. Prade:
Boundary Hölder regularity for the fractional Laplacian over  Reifenberg flat domains via ABP maximum principle
(Proceedings) http://arxiv.org/abs/2501.14639 2025

A. Prade:
Boundary regularity for nonlocal elliptic equations over Reifenberg flat  domains
(Preprint) http://arxiv.org/abs/2502.04107 2025

A. Pratelli, G. Saracco:
Cylindrical estimates for the Cheeger constant and applications
J. Math. Pures Appl. (9) Vol. 194, p. 103633, 2025

F. Riva, E. Rocca:
A rigorous approach to the sharp interface limit for phase-field models of tumor growth
SIAM Journal on Mathematical Analysis Vol. 57, N. 1, p. 65-94, 2025

F. Riva, G. Scilla, F. Solombrino:
Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems
Journal of Functional Analysis Vol. 288, N. 7, 2025

D. Semola:
The large scale structure of complete $4$-manifolds with nonnegative Ricci curvature and Euclidean volume growth
(Preprint) 2025

E. G. Tolotti:
On the hierarchy of plate models for a singularly perturbed multi-well
  nonlinear elastic energy
(preprint) http://arxiv.org/abs/2501.11443 2025

A. Tribuzio, K. Zemas:
Energy barriers for boundary nucleation in a two-well model without gauge invariances
Calculus of Variations and Partial Differential Equations Vol. 64, N. 11, 2025

D. Zucco:
Ahlfors regularity of continua that minimize maxitive set functions
Journal of Mathematical Analysis and Applications Vol. 542, N. 1, p. 19, 2025