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

P. Acampora, J. Lamboley:
Sharp quantitative Talenti's inequality in particular cases
(preprint) http://arxiv.org/abs/2503.07337 2025

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

M. Agnoletto, Julio C. Correa Hoyos, Márcio Fabiano da Silva, S. Nardulli:
Allard's interior $\varepsilon$-Regularity Theorem in Alexandrov spaces
(preprint) http://arxiv.org/abs/2504.10758 2025

V. Agostiniani, C. Mantegazza, L. Mazzieri, F. Oronzio:
Riemannian Penrose Inequality via Nonlinear Potential Theory
Ann. Sc. Norm. Super. Pisa Cl. Sci. (Accepted Paper) 2025

G. Akagi, V. Bögelein, A. Marveggio, U. Stefanelli:
Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave  equations
J. Funct. Anal. Vol. 289, N. 8, p. 111067, 2025

G. Alberti, D. Bate, A. Marchese:
On the closability of differential operators
J. Funct. Anal. Vol. 289, N. 7, 2025

G. Alberti, A. Massaccesi, A. Merlo:
Frobenius theorem and fine structure of tangency sets to non-involutive distributions
(Preprint) http://arxiv.org/abs/2506.03715 2025

G. Alberti, A. Massaccesi, A. Merlo:
Tangency sets of non-involutive distributions and unrectifiability in Carnot-Carathéodory spaces
(Submitted Paper) http://arxiv.org/abs/2503.01373 2025

C. Alessi, L. Brasco, M. Miranda Jr:
A Schroedinger operator with confining potential having quadratic growth
Anal. Math. Phys. (Accepted Paper) p. 36, 2025

R. Alicandro, L. De Luca, M. Palombaro, M. Ponsiglione:
$\Gamma$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
Adv. Calc. Var. Vol. 18, 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

S. Almi, R. Durastanti, F. Solombrino:
Mean field first order optimality condition under low regularity of controls
(Preprint) http://arxiv.org/abs/2504.00878 2025

S. Almi, M. Fornasier, J. Klemenc, A. Scagliotti:
Balanced quasistatic evolutions of critical points in metric spaces
(preprint) http://arxiv.org/abs/2506.09812 2025

S. Almi, R. Rossi, G. Savaré:
The superposition principle for the continuity equation with singular flux
(Preprint) 2025

D. M. Ambrose, M. Griffin-Pickering, A. R. Mészáros:
Kinetic-type Mean Field Games with Non-separable Local Hamiltonians
J. Lond. Math. Soc. (2) 2025

L. Ambrosio, F. Renzi, F. Vitillaro:
The superposition principle for local 1-dimensional currents
(Submitted Paper) http://arxiv.org/abs/2503.18157 2025

P. Ambrosio:
Regularity results for solutions to some classes of strongly degenerate elliptic and parabolic problems
(Phd Thesis) 2025

P. Ambrosio, G. Cupini, E. Mascolo:
Regularity of vectorial minimizers for non-uniformly elliptic  anisotropic integrals
(Accepted Paper) http://arxiv.org/abs/2503.18917 2025

P. Ambrosio, A. G. Grimaldi, A. Passarelli di Napoli:
On the second-order regularity of solutions to widely singular or degenerate elliptic equations
(Submitted Paper) http://arxiv.org/abs/2401.13116 2025

F. Anceschi, G. Palatucci, M. Piccinini:
De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions
(Preprint) 2025

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

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 Vol. 58, N. 1, p. 1-52, 2025

G. Antonelli, M. Pozzetta:
Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature
J. Funct. Anal. 2025

G. Antonelli, M. Pozzetta, D. Semola:
Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature
Comm. Pure Appl. Math. 2025

G. Antonelli, K. Xu:
Connected sum of manifolds with spectral Ricci lower bounds
(preprint) http://arxiv.org/abs/2505.18320 2025

V. Arya, D. De Gennaro, A. Kubin:
The asymptotic of the Mullins-Sekerka and the area-preserving curvature  flow in the planar flat torus
(preprint) http://arxiv.org/abs/2503.05399 2025

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

P. C. Aubin-Frankowski, G. E. Sodini, U. Stefanelli:
Evolution variational inequalities with general costs
(preprint) http://arxiv.org/abs/2505.00559 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

S. Baasandorj, S. Di Marino, A. Gerolin:
$C^{1,}$-regularity for Schrödinger potentials of
  Shannon-entropy regularized Optimal Transport
(preprint) http://arxiv.org/abs/2506.09302 2025

A. Bach, M. Ruf:
Stochastic homogenization of integral functionals defined on manifold-valued Sobolev maps
(Preprint) 2025

P. Baldi, Giuseppe La Scala, D. A. La Manna:
Bifurcation from multiple eigenvalues of rotating traveling waves on a
  capillary liquid drop
(preprint) http://arxiv.org/abs/2504.01555 2025

M. Bansil, A. R. Mészáros:
On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations
Bull. Lond. Math. Soc (Accepted Paper) http://arxiv.org/abs/2403.05412 2025

M. Bansil, A. R. Mészáros, C. Mou:
Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations
SIAM J. Control Optim. 2025

A. Baradat, A. Hraivoronska, F. Santambrogio:
Using Sinkhorn in the JKO scheme adds linear diffusion
(Preprint) http://arxiv.org/abs/2502.12666 2025

D. Barbera, F. Boni, S. Dovetta, L. Tentarelli:
Normalized solutions of one-dimensional defocusing NLS equations with
  nonlinear point interactions
(preprint) http://arxiv.org/abs/2503.21700 2025

D. Barilari, T. Bossio, V. Franceschi:
Magnetic fields on sub-Riemannian manifolds
(Preprint) p. 27, 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

P. Baroni:
A new condition ensuring gradient continuity for minimizers of non-autonomous functionals with mild phase transition
Calc. Var. Partial Differ. Equ. (Accepted Paper) 2025

A. C. Barroso, J. Matias, M. Morandotti, D. R. Owen, E. Zappale:
A Comprehensive Approach via Global Relaxation to the Variational Modelling of Hierarchical Structured Deformations
(Submitted Paper) http://arxiv.org/abs/2505.08984 2025

D. Bartolucci, A. Jevnikar, R. Wu:
Sharp estimates, uniqueness and spikes condensation for superlinear free boundary problems arising in plasma physics
Calc. Var. and PDEs (Accepted Paper) p. 54, 2025

F. Baudoin, E. Grong, L. Rizzi, V. M. Sylvie:
Comparison theorems on H-type sub-Riemannian manifolds
Calc. Var. Partial Differential Equations Vol. 64, N. 143, 2025

M. Batu:
Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations
(Submitted Paper) 2025

P. Bella, F. Lemming, R. Marziani, F. Oschmann:
Brinkman's law as $\Gamma$-limit of compressible low Mach Navier-Stokes equations and application to randomly perforated domains
(Preprint) p. 43, 2025

G. Bellettini, S. Kholmatov:
A De Giorgi conjecture on the regularity of minimizers of Cartesian area in 1D
(Preprint) 2025

G. Bellettini, S. Kholmatov, M. Novaga:
Crystalline elastic flow  of polygonal curves: long time behaviour and convergence to stationary solutions
(Submitted Paper) http://arxiv.org/abs/2506.15869 2025

G. Bellettini, R. Marziani, R. Scala:
On jump minimizing liftings for $\mathbb S^1$-valued maps and connections with Ambrosio-Tortorelli-type $\Gamma$-limits
(Preprint) p. 40, 2025

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

K. Bessas, G. C. Brusca:
A note on non-local Sobolev spaces and non-local perimeters
(Proceedings (submitted)) 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

G. Bevilacqua, M. Carducci:
Free boundary regularity for a tumor growth model with obstacle
(preprint) http://arxiv.org/abs/2507.02837 2025

G. Bevilacqua, S. Stuvard, B. Velichkov:
Classical solutions to the soap film capillarity problem for plane  boundaries
Math. Annalen 2025

N. Biswas, R. Kumar:
On semipositone problems over $\mathbb{R}^N$ for the fractional  $p$-Laplace operator
Journal of Mathematical Analysis and Applications (preprint) http://arxiv.org/abs/2401.16953 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

M. Bonnivard, E. Bretin, A. Lemenant, E. Machefert:
Phase field approximation for Plateaus problem: a curve geodesic distance penalty approach
(Preprint) 2025

W. Borrelli, U. Morellini:
Global well-posedness in a Hartree-Fock model for graphene
J. Phys. A: Math. Theor. Vol. 58, N. 21, 2025

S. Borza, L. Rizzi:
Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures
(Preprint) http://arxiv.org/abs/2505.09681 p. 50, 2025

G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale:
Dissociation limits in Density Functional Theory
(Preprint) 2025

D. Bourne, M. Cullen, C. Egan, J. Methven:
A definition of the background state of the atmosphere using optimal transport
(Submitted Paper) 2025

D. Bourne, C. Egan, T. Lavier, B. Pelloni:
Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations
(Submitted Paper) 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 Vol. 59, N. 2, p. 841-871, 2025

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

F. Bozzola, L. Brasco:
Variations on the capacitary inradius
Discrete Contin. Dyn. Syst. Ser. S (Accepted Paper) p. 31, 2025

A. Braides, F. Caragiulo:
Modulated phases in Ising systems with long-range antiferromagnetic and short-range ferromagnetic interactions
(Preprint) 2025

L. Branca, G. Catino, D. Dameno:
Bach-pinched metrics on closed manifolds
(Submitted Paper) 2025

L. Branca, G. Catino, D. Dameno, P. Mastrolia:
Rigidity of Einstein manifolds with positive Yamabe invariant
Ann. Glob. Anal. Geom. Vol. 67, N. 21, 2025

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

L. Brasco, L. Briani, F. Prinari:
Extremals for Poincaré-Sobolev sharp constants in Steiner symmetric sets
(Preprint) 2025

D. Brazke, G. Götzmann, H. Knüpfer:
$\Gamma$-Convergence of Higher-Order Phase Transition Models
(preprint) http://arxiv.org/abs/2503.08309 2025

C. Brena:
Instability of the fundamental group for non-collapsed Ricci-limits
(preprint) http://arxiv.org/abs/2505.17263 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

M. Bresciani, M. Friedrich:
Core-radius approximation of singular minimizers in nonlinear elasticity
(preprint) http://arxiv.org/abs/2503.07546 2025

M. Bresciani, B. Stroffolini:
Quasistatic evolution of Orlicz-Sobolev nematic elastomers
Annali di Matematica Pura e Applicata Vol. 204, N. 3, p. 1-54, 2025

A. Bressan, E. Marconi, G. Vaidya:
Uniqueness domains for $L^\infty$ solutions of $2 \times 2$ hyperbolic conservation laws
(Preprint) http://arxiv.org/abs/2505.00420 2025

L. Briani, M. Cicalese, L. Kreutz:
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories
(Preprint) 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

C. Brune, M. Carioni, M. S. Landman, S. Mukherjee, F. van Maarschalkerwaart:
Perturbation-Aware Distributionally Robust Optimization for Inverse Problems
SSVM 2025 (Accepted Paper) http://arxiv.org/abs/2503.04646 2025

G. C. Brusca, D. Donati, M. Solci:
Higher-order singular perturbation models for phase transitions
SIAM Journal on Mathematical Analysis Vol. 57, N. 3, p. 3146-3170, 2025

G. C. Brusca, D. Donati, C. Trifone:
Singular perturbations models in phase transitions for anisotropic higher-order materials
(Submitted Paper) 2025

E. Bruč, A. Naber, D. Semola:
Compact Manifolds with Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
(Preprint) http://arxiv.org/abs/2504.09603 2025

E. Bruč, 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
Nonlinear Analysis 2025

B. Bulanyi, J. Van Schaftingen, B. Van Vaerenbergh:
Limiting behavior of minimizing $p$-harmonic maps in $3d$ as $p$ goes to $2$ with finite fundamental group
Arch. Ration. Mech. Anal. Vol. 249, N. 3, p. 1-103, 2025

G. Buttazzo, R. Ognibene:
Asymptotics of nonlinear Robin energies
(preprint) http://arxiv.org/abs/2506.06914 2025

F. Bäuerlein, S. Riccň, L. Schätzler:
Global higher integrability and Hardy inequalities for double-phase functionals under a capacity density condition
(Submitted Paper) http://arxiv.org/abs/2503.21580 2025

T. Caillet, F. Santambrogio:
Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme)
Bulletin of the Hellenic Mathematical Society (Accepted Paper) 2025

G. Caldini, A. Skorobogatova:
Hausdorff measure bounds for density-$Q$ flat singularities of minimizing integral currents
(Preprint) 2025

G. Canevari, V. P. C. Le, R. Oliver-Bonafoux, G. Orlandi:
$$-convergence of the $p$-Dirichlet energy for manifold-valued
  maps
(preprint) http://arxiv.org/abs/2505.21257 2025

N. Cangiotti, M. Capolli:
Morrey-Campanato functional spaces for Carnot groups
Banach J. Math. Anal. Vol. 19, p. Article 31, 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

E. Caputo, J. Koivu, D. Lui, T. Rajala:
Closed BV-extension and $W^{1,1}$-extension sets
(preprint) http://arxiv.org/abs/2503.15716 2025

S. Carano, N. Katzourakis, R. Moser:
Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order $L^\infty$-variational problem
(Preprint) http://arxiv.org/abs/2504.04181 p. 19, 2025

D. Carazzato, A. Pratelli:
On the existence and boundedness of minimizing measures for a general form of non-local energies
Math. Ann. Vol. 391, N. 4, p. 4849-4879, 2025

D. Carazzato, A. Pratelli, I. Topaloglu:
Particle approximation of nonlocal interaction energies
(preprint) http://arxiv.org/abs/2506.02905 2025

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 p. 31, 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, L. Del Grande, J. A. Iglesias, H. Schönberger:
Nonlocal perimeters and variations: Extremality and decomposability for  finite and infinite horizons
(Submitted Paper) http://arxiv.org/abs/2502.05149 2025

M. Carioni, J. Krautz, J. F. Pietschmann:
Dynamic Optimal Transport with Optimal Preferential Paths
(Preprint) http://arxiv.org/abs/2504.03285 2025

M. Carioni, J. Lohmann:
Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation
(Preprint) http://arxiv.org/abs/2505.07314 2025

M. Caroccia, N. Van Goethem:
Iterative blow-ups for maps with bounded $\mathcal{A}$-variation: a refinement, with application to $\mathrm{BD}$ and $\mathrm{BV}$.
(Preprint) 2025

M. Caroccia, N. Van Goethem:
Rigidity and functional properties of $\mathrm{BD}_{dev}(\Omega)$
(Preprint) 2025

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

J. A. Carrillo, C. Elbar, S. Fronzoni, J. Skrzeczkowski:
Rate of Convergence for a Nonlocal-to-local Limit in One Dimension
(Preprint) http://arxiv.org/abs/2505.07015 2025

G. Carvalho, J. Matias, E. Zappale:
Asymptotic analysis of a clamped thin multidomain allowing for fractures and discontinuities
Communications in Contemporary Mathematics (Accepted Paper) http://arxiv.org/abs/2308.07500 2025

M. Caselli, M. Freguglia, N. Picenni:
Coercivity and Gamma-convergence of the $p$-energy of sphere-valued
  Sobolev maps
(preprint) http://arxiv.org/abs/2503.14142 2025

A. Caserta:
Problema isoperimetrico nello spazio di Gauss per insiemi simmetrici e convessi e applicazioni al form finding
(Degree Thesis) 2025

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

G. Catino, D. D. Monticelli, A. Roncoroni:
Rigidity of solutions to singular/degenerate semilinear critical equations
(Submitted Paper) 2025

G. Cavagnari, G. Savaré, G. E. Sodini:
Stochastic Euler Schemes and Dissipative Evolutions in the Space of
  Probability Measures
(preprint) http://arxiv.org/abs/2505.20801 2025

F. Cavalletti, D. Manini, A. Mondino:
On the geometry of synthetic null hypersurfaces
(Preprint) http://arxiv.org/abs/2506.04934 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

P. Cesana, E. Fabbrini, M. Morandotti:
Variational formulation of planar linearized elasticity with incompatible kinematics
(Submitted Paper) http://arxiv.org/abs/2503.18053 2025

P. Cesana, A. Grillo, M. Morandotti, A. Pastore:
Dissipative evolution of Volterra disclinations
SIAM J. Appl. Math. (Accepted Paper) http://arxiv.org/abs/2408.15457 2025

A. Cesaroni, I. Fragalŕ, M. Novaga:
A note on the honeycomb optimality among periodic convex tilings
(Submitted Paper) http://arxiv.org/abs/2507.01566 2025

A. Cesaroni, I. Fragalŕ, M. Novaga:
Lattice tilings minimizing nonlocal perimeters
Comm. Contemp. Math. Vol. 27, N. 6, p. Paper No. 2450043, 2025

A. Cesaroni, M. Novaga:
Minimal periodic foams with fixed inradius
Mathematika Vol. 71, N. 2, p. Paper No. e70020, 2025

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

A. Chambolle, V. Crismale:
A general compactness theorem in $G(S)BD$
Indiana Univ. Math. J. Vol. 74, p. 233-249, 2025

A. Chambolle, D. De Gennaro, M. Morini:
Elementary discrete diffusion/redistancing schemes for the mean  curvature flow
(preprint) http://arxiv.org/abs/2506.05946 2025

D. Cherkashin, E. Paolini, Y. Teplitskaya:
Steiner trees with infinitely many terminals on the sides of an angle
Journal of Combinatorial Optimization Vol. 40, N. 49, 2025

V. Chiadň Piat, V. De Cicco, A. Melchor Hernandez:
Relaxation for a degenerate functional with linear growth in the onedimensional case
J. of Convex Analysis (Accepted Paper) 2025

V. Chiadň Piat, V. De Cicco, A. Melchor Hernandez:
Relaxation for degenerate nonlinear functionals in the onedimensional case
NoDEA (Accepted Paper) 2025

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

M. Cicalese, L. Kreutz, G. P. Leonardi, G. Morselli:
The quantitative Faber-Krahn inequality for the combinatorial Laplacian in $\mathbb{Z}^d$
(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

M. Circelli:
Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group
(Submitted Paper) 2025

S. Cito:
Optimality and stability of the radial shapes for the Sobolev trace constant
(Preprint) http://arxiv.org/abs/2504.21607 2025

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

S. Conti, M. Focardi, F. Iurlano:
Superlinear free-discontinuity models: relaxation and phase field approximation
(Preprint) http://arxiv.org/abs/2505.00852 2025

R. Continolo, V. Lorenzini, R. Scala, G. Scianna:
Regularity and convergence of critical points  of an Ambrosio-Tortorelli functional with linear growth and of its $\Gamma$-limit
(Preprint) 2025

D. Corona, R. Giambň, P. Piccione:
A note on the regularity and the existence of Riemannian k-splines
Mathematics of Control, Signals, and Systems p. 35, 2025

D. Corona, S. Nardulli, R. Oliver-Bonafoux, G. Orlandi, P. Piccione:
Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary
Mathematische Annalen p. 46, 2025

A. Cosenza, M. Goldman, A. Zilio:
A $$-convergence result for 2D type-I superconductors
(preprint) http://arxiv.org/abs/2504.19587 2025

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

V. Crismale, M. Friedrich, J. Seutter:
Adaptive finite element approximation for quasi-static crack growth
(Preprint) http://arxiv.org/abs/2503.18664 2025

G. Cristinelli, J. A. Iglesias, D. Walter:
Linear convergence of a one-cut conditional gradient method for total
  variation regularization
(preprint) http://arxiv.org/abs/2504.16899 2025

R. Cristoferi, L. D'Elia:
First-order homogenization
(preprint) http://arxiv.org/abs/2505.18848 2025

R. Cristoferi, R. Ferreira, I. Fonseca, J. A. Iglesias:
Monotonicity of the jump set and jump amplitudes in one-dimensional TV  denoising
(Submitted Paper) http://arxiv.org/abs/2502.11714 2025

R. Cristoferi, G. Fissore:
Two dimensional graph model for epitaxial crystal growth with adatoms
Advances in Calculus of Variations Vol. vol. 18, N. no. 2,, p. pp. 511-554, 2025

R. Cristoferi, G. Fissore, M. Morandotti:
Geometrically constrained walls in three dimensions
(Submitted Paper) 2025

R. Cristoferi, I. Fonseca, L. Ganedi:
Homogenization and Phase Separation with Fixed Wells - The Supercritical Case
SIAM J. Math. Anal. (Accepted Paper) http://arxiv.org/abs/2301.07012 2025

A. Cucinotta, M. Magnabosco:
On perimeter minimizing sets in manifolds with quadratic volume growth
(preprint) 2025

A. Cucinotta, A. Mondino:
On manifolds with almost non-negative Ricci curvature and integrally-positive $k^{th}$-scalar curvature
(Preprint) 2025

G. Dal Maso, D. Donati:
A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation
(Submitted Paper) http://arxiv.org/abs/2506.19978 2025

G. Dal Maso, R. Toader:
Energy-Dissipation Balance for Dynamic Viscoelastic Problems with Memory in Domains with Growing Cracks
(Preprint) 2025

N. David, F. Santambrogio:
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations
Communications in Partial Differential Equations (Accepted Paper) 2025

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

L. De Luca, G. Del Nin:
The square sticky disk: crystallization and gamma-convergence to the octagonal anisotropic perimeter
(Preprint) 2025

L. De Luca, M. Goldman, M. Ponsiglione:
Dynamics of screened particles towards equi-spaced ground states
(Preprint) 2025

F. De Pas, S. Dipierro, M. Piccinini, E. Valdinoci:
Heteroclinic connections for fractional Allen-Cahn equations with degenerate potentials
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 2025

N. De Ponti, G. E. Sodini, L. Tamanini:
The infimal convolution structure of the HellingerKantorovich distance
(Preprint) 2025

A. De Rosa, Y. Lei, R. Young:
Construction of fillings with prescribed Gaussian image and applications
Arch. Ration. Mech. Anal. 2025

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

A. Defranceschi, L. Lussardi, E. Vitali:
Variational evolution of discrete one-dimensional second-order functionals
Math. Mech. Solids Vol. 30, N. 6, p. 1249-1281, 2025

A. Delalande, S. Farinelli:
Regularized Moment Measures
(preprint) http://arxiv.org/abs/2506.13218 2025

L. Dello Schiavo, G. E. Sodini:
The Hellinger-Kantorovich metric measure geometry on spaces of measures
(Preprint) http://arxiv.org/abs/2503.07802 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, C. Serpico, V. Slastikov:
Magnetoelastic actuated motion of fine ferromagnetic particles
(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, S. Don, D. Vittone:
SBV functions in Carnot-Carathéodory spaces
(preprint) http://arxiv.org/abs/2503.04285 2025

M. Di Marco, A. Julia, S. Nicolussi Golo, D. Vittone:
Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
Trans. Amer. Math. Soc. Vol. 378, p. 4955-4990, 2025

M. Di Marco, A. Pinamonti, D. Vittone, K. Zambanini:
Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups
Adv. Calc. Var. Vol. 18, p. 963-978, 2025

M. Di Marco, G. Somma, D. Vittone:
A note on the diameter of small sub-Riemannian balls
(preprint) http://arxiv.org/abs/2505.02790 2025

S. Di Marino, E. Naldi, S. Villa:
Inexact JKO and proximal-gradient algorithms in Wasserstein spaces
(Preprint) 2025

A. Diana:
Stability and convergence for the length-penalized elastic flow of curves with partial free boundary
(Submitted Paper) 2025

D. Donati:
A new space of generalised vector-valued functions of bounded variation
Nonlinear Differential Equations and Applications NoDEA Vol. 32, 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. Dovetta, E. Serra, L. Tentarelli:
Non-uniqueness of normalized NLS ground states on bounded domains with
  homogeneous Neumann boundary conditions
(preprint) http://arxiv.org/abs/2503.15142 2025

N. Drago, S. Mazzucchi, A. Pinamonti:
Chernoff solutions of the heat and the Schrödinger equation in the Heisenberg group
(Preprint) 2025

S. Dweik:
On the regularity of the solution and the free boundary in a weighted $p-$Laplacian problem
(Preprint) 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

S. Dweik, A. Sabra:
Fractional infinity Laplacian with obstacle
(Preprint) 2025

A. Einav, Y. Jiang, A. R. Mészáros:
On the equivalence between static and dynamic optimal transport governed by linear control systems
(Submitted Paper) http://arxiv.org/abs/2505.17570 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

L. Esposito, L. Lamberti, D. N. N., P. Roy:
Finsler $p$-Laplacian in domains becoming unbounded
(Preprint) 2025

L. Esposito, L. Lamberti, G. Pisante:
Ahlfors-regularity for minimizers of a multiphase optimal design problem
(Preprint) 2025

S. Farinelli, A. Scagliotti:
Normalizing flows as approximations of optimal transport maps via  linear-control neural ODEs
Nonlinear Analysis 2025

Z. Fattah, I. Ftouhi, E. Zuazua:
Optimal L^p-approximation of convex sets by convex subsets
Nonlinear Analysis 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

F. Ferrari, N. Forcillo, D. Giovagnoli, D. Jesus:
Free boundary regularity for the inhomogeneous one-phase Stefan problem
(Preprint) http://arxiv.org/abs/2404.07535v3 2025

F. Ferrari, D. Giovagnoli, D. Jesus:
On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem
(Preprint) http://arxiv.org/abs/2504.12912 2025

E. Ficola, T. Schmidt:
Existence theory for linear-growth variational integrals with signed measure data
(Submitted Paper) http://arxiv.org/abs/2505.11279 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

F. Fleißner:
The Kernel-Density-Estimator Minimizing Movement Scheme
(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

R. L. Frank, J. Mateu, M. G. Mora, L. Rondi, L. Scardia, J. Verdera:
Explicit minimisers for anisotropic Riesz energies
(Preprint) 2025

F. Freddi, F. Riva:
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates
Mathematics in Engineering Vol. 7, N. 3, p. 406-438, 2025

M. Friedrich, L. Kreutz, K. Zemas:
Derivation of Kirchhoff-type plate theories for elastic materials with voids
(Preprint) 2025

I. Ftouhi:
Optimal description of BlaschkeSantaló diagrams via numerical shape optimization
Applied Mathematics and Optimization 2025

I. Ftouhi:
The monotonicity of the Cheeger constant for parallel bodies
Journal of Optimization Theory and Applications 2025

I. Ftouhi, I. Lucardesi, G. Saracco:
A reverse isoperimetric inequality for the Cheeger constant under width constraint
(Submitted Paper) http://arxiv.org/abs/2504.18848 2025

G. Fusco:
Variational analysis of discrete Dirichlet problems in periodically
  perforated domains
(preprint) http://arxiv.org/abs/2503.06723 2025

M. Gallo, R. Moraschi, M. Squassina:
Quantitative and exact concavity principles for parabolic and elliptic equations
(Preprint) p. 38, 2025

M. Gallo, J. Schino:
A Pohoaev minimization for normalized solutions: fractional  sublinear equations of logarithmic type
(preprint) http://arxiv.org/abs/2503.24080 p. 42, 2025

C. Gambicchia, E. M. Merlino, B. Ruffini, M. Talluri:
Barycentric stability of nonlocal perimeters: the convex case
(Submitted Paper) http://arxiv.org/abs/2506.03776 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

M. Gobbino, N. Picenni:
Gamma-liminf estimate for a class of non-local approximations of Sobolev  and BV norms
J. Funct. Anal. (Accepted Paper) http://arxiv.org/abs/2311.05560 2025

M. Gobbino, N. Picenni:
Multi-scale analysis of minimizers for a second order regularization of  the Perona-Malik functional
Calc. Var. PDE Vol. 64, 2025

M. Gobbino, N. Picenni:
Symmetry breaking for local minimizers of a free discontinuity problem
(Preprint) http://arxiv.org/abs/2506.05270 2025

G. Greco, L. Tamanini:
Hessian stability and convergence rates for entropic and Sinkhorn  potentials via semiconcavity
(preprint) http://arxiv.org/abs/2504.11133 2025

S. Guarino Lo Bianco, D. A. La Manna, B. Velichkov:
Free boundary cluster with Robin condition on the transmission interface
Calc. Var. Vol. 64, N. 4, 2025

A. Guerra, X. Lamy, K. Zemas:
Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension
Trans. Amer. Math. Soc. Vol. 378, p. 1235-1259, 2025

S. Honda, A. Mondino:
Gap phenomena under curvature restrictions
Indagationes Math. (Accepted Paper) http://arxiv.org/abs/2410.04985 2025

A. Hraivoronska, F. Santambrogio:
Convergence of the fully discrete JKO scheme
(Preprint) 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

K. Kroencke, F. Oronzio, A. Pinoy:
Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds
(Preprint) http://arxiv.org/abs/2506.07108 2025

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

M. Kruzik, F. Riva:
The effects of pressure loads in the dimension reduction of elasticity models
(Preprint) http://arxiv.org/abs/2504.15864 2025

A. Kubin:
On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane
(Submitted Paper) 2025

A. Kubin, G. Saracco, G. Stefani:
On the $\Gamma$-limit of weighted fractional energies
(Submitted Paper) http://arxiv.org/abs/2503.19875 2025

R. Kumar, T. Mukherjee, A. Sarkar:
On a fractional system of NLS-KDV equations with Hardy potentials
Indian Journal of Pure and Applied Mathematics 2025

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

L. Lamberti, A. Lemenant:
Quantitative regularity properties for the optimal design problem
(Preprint) 2025

A. Lanza, A. Leaci, S. Morigi, F. Tomarelli:
Symmetrised Fractional Variation with $L^1$ fidelity for signal denoising via Grünwald-Letnikov scheme
Applied Mathematics and Computation Vol. 500, p. 129429, 2025

G. Lazzaroni, P. Wozniak, C. I. Zeppieri:
Strong approximation of SBV functions with prescribed jump direction
Math. Nachr. Vol. 298, p. 312-327, 2025

E. Le Donne, L. Nalon, N. Paddeu, S. Verzellesi:
Hypergenerated Carnot groups
(Preprint) 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

C. Leone, G. Scilla, F. Solombrino, A. Verde:
Strong existence for free-discontinuity problems  with non-standard growth
SIAM Journal on Mathematical Analysis Vol. 57, N. 3, 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

I. Lucardesi, D. Zucco:
Three quantitative versions of the Pál inequality
The Journal of Geometric Analysis Vol. 35, 2025

E. Maggiorelli, F. Riva, E. G. Tolotti:
A free boundary approach to the quasistatic evolution of debonding models
(Preprint) 2025

M. Magnabosco, A. Mondino, T. Rossi:
On the rectifiability of CD(K,N) and MCP(K,N) spaces with unique tangents
(Preprint) http://arxiv.org/abs/2505.01151 2025

V. Magnani, D. Tiberio:
The Michor-Mumford conjecture in Hilbertian H-type groups
J. Geom. Anal. Vol. 35, N. 3, p. 24, 2025

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

A. Maione, F. Paronetto, S. Verzellesi:
Variational convergences under moving anisotropies
(Preprint) http://arxiv.org/abs/2504.02552 2025

M. Manfredini, M. Piccinini, S. Polidoro:
The Dirichlet problem for a family of totally degenerate differential  operators
J. Evol. Equations (Accepted Paper) http://arxiv.org/abs/2106.12048 2025

C. Maor, M. G. Mora:
Rigorous analysis of shape transitions in frustrated elastic ribbons
(Submitted Paper) 2025

E. Marconi, L. V. Spinolo:
Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit
(Preprint) http://arxiv.org/abs/2505.10102 2025

E. Marconi, L. V. Spinolo:
Well-posedness results for the Generalized Aw-Rascle-Zhang model
(Preprint) http://arxiv.org/abs/2505.10104 2025

P. M. Mariano, D. Mucci:
Rod deformations with possibly irrecoverable corners: conditions for global injectivity
Journal of Differential Equations 2025

F. Mattesini, F. Otto:
From Combinatorics to Partial Differential Equations
(Preprint) http://arxiv.org/abs/2505.10175 2025

A. C. G. Mennucci:
Some fundamental results on Probabilities and Stochastic Processes   in Infinite Dimensional Spaces and Manifolds
International Journal of Mathematics and Mathematical Sciences (Submitted Paper) 2025

A. Mondino, C. Saemann:
Lorentzian Gromov-Hausdorff convergence and pre-compactness
(Preprint) http://arxiv.org/abs/2504.10380 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

D. Mucci:
Functions of bounded variation in trace spaces
(Submitted Paper) 2025

D. Mucci, A. Saracco:
The fundamental theorem of the local theory for non-smooth curves
(Submitted Paper) 2025

A. R. Mészáros, G. Parker:
On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions
(Preprint) http://arxiv.org/abs/2504.18484 p. 30, 2025

S. Nardulli, A. Pratelli:
Connectedness properties of small minimal clusters in Riemannian or
  Finsler manifolds
(preprint) http://arxiv.org/abs/2504.20587 2025

L. Nenna, D. Omarov, B. Pass:
Characterizing and computing solutions to regularized semi-discrete optimal transport via an ordinary differential equation
(Preprint) 2025

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

F. Nobili, I. Y. Violo:
Generalized existence of extremizers for the sharp $p$-Sobolev
  inequality on Riemannian manifolds with nonnegative curvature
(preprint) http://arxiv.org/abs/2506.20592 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 Vol. 432, p. 113207, 2025

F. Oronzio:
Area, volume and capacity in non-compact 3-manifolds with non--negative scalar curvature
(Preprint) http://arxiv.org/abs/2504.04093 2025

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

K. Pankrashkin, F. Sk, M. Vogel:
Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks
(Preprint) p. 25, 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, T. Rajala:
A note on Laplacian bounds, deformation properties and isoperimetric
  sets in metric measure spaces
(preprint) http://arxiv.org/abs/2503.14132 2025

E. Pasqualetto, G. E. Sodini:
Functions of bounded variation and Lipschitz algebras in metric measure
  spaces
(preprint) http://arxiv.org/abs/2503.21664 2025

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

P. Pegon, M. Petrache:
Optimal quantization with branched optimal transport distances
SIAM Journal on Mathematical Analysis (Accepted Paper) http://arxiv.org/abs/2309.08677 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. Pinamonti, S. Verzellesi:
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups
J. Geom. Anal. 2025

J. Pozuelo, S. Verzellesi:
Existence and uniqueness of t-graphs of prescribed mean curvature in Heisenberg groups
Trans. Amer. Math. Soc. (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

F. Santambrogio:
Optimal transport methods for parabolic diffusion equations: the JKO scheme
(Accepted Paper) 2025

D. Sboev:
Capacity Boundary Elements in Riemannian Manifolds and Generalized Boundaries
Siberian Mathematical Journal Vol. 66, N. 3, p. 763-787, 2025

T. Schmidt:
Isoperimetric conditions, lower semicontinuity, and existence results  for perimeter functionals with measure data
Math. Ann. Vol. 391, N. 4, p. 57295807, 2025

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
J. Lond. Math. Soc., II. Ser. Vol. 111, N. 4, 2025

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

A. Skorobogatova, L. Spolaor, S. Stuvard:
Structure of two-dimensional mod$(q)$ area minimizing currents near flat singularities: the codimension one case
(Preprint) http://arxiv.org/abs/2506.17813 2025

G. Speight, S. Zimmerman:
Directional Pliability, Whitney Extension, and Lusin Approximation for Curves in Carnot Groups
(Submitted Paper) http://arxiv.org/abs/2505.14678 2025

G. Stefani:
On a weighted version of the BBM formula
(Submitted Paper) 2025

S. Stuvard, Y. Tonegawa:
Dynamical instability of minimal surfaces at flat singular points
J. Differential Geom. Vol. 130, N. 2, p. 477-516, 2025

E. G. Tolotti:
On the hierarchy of plate models for a singularly perturbed multi-well  nonlinear elastic energy
Journal of Nonlinear Science Vol. 35, N. 77, 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

P. Valentini:
Legendrian cycles and Alexandrov sphere theorems for $W^{2,n}$-hypersurfaces
(Ph.D. Thesis) 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

A. de Villeroché:
Quantitative stability control of the full spectrum of the Dirichlet Laplacian by the second eigenvalue
(preprint) 2025