T. V. ANOOP, V. Bobkov, M. Ghosh: Reverse Faber-Krahn inequality for planar doubly connected domains (preprint) http://arxiv.org/abs/2509.17480 2025 T. V. ANOOP, M. Ghosh: Reverse Faber-Krahn inequalities for Zaremba problems Topol. Methods Nonlinear Anal. 2025 H. Abels, A. Marveggio, Poiatti: Well-posedness and sharp interface limit of a non-isothermal Navier-Stokes/Allen-Cahn model (Preprint) http://arxiv.org/abs/2511.11892 2025 J. Abrantes, R. Kumar, A. Sarkar: Global branching for semilinear fractional Laplace with sublinear nonlinearity (preprint) http://arxiv.org/abs/2511.08037 2025 P. Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti: An improved version of a spectral inequality by Payne (Preprint) http://arxiv.org/abs/2507.08631 2025 P. Acampora, J. Lamboley: Sharp quantitative Talenti's inequality in particular cases (preprint) http://arxiv.org/abs/2503.07337 2025 R. Adami, F. Boni, R. Carlone, L. Tentarelli: The search for NLS ground states on a hybrid domain: Motivations, methods, and results Springer INdAM Series Vol. 64, p. 25, 2025 A. Adve, A. R. Mészáros: On nonexpansiveness of metric projection operators on Wasserstein spaces Adv. Calc. Var. (Accepted Paper) 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. Akagi, G. E. Sodini, U. Stefanelli: Global well-posedness for a time-fractional doubly nonlinear equation (preprint) http://arxiv.org/abs/2508.13694 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. Alessi, F. Colasanto, M. Focardi: Phase-field modelling of cohesive fracture. Part I: $\Gamma$-convergence results (Preprint) 2025 R. Alessi, F. Colasanto, M. Focardi: Phase-field modelling of cohesive fracture. Part II: Reconstruction of the cohesive law (Preprint) 2025 R. Alessi, F. Colasanto, M. Focardi: Phase-field modelling of cohesive fracture. Part III: From mathematical results to engineering applications (Preprint) 2025 R. Alicandro, A. Braides, M. Solci, G. Stefani: Topological singularities arising from fractional-gradient energies Math. Ann. Vol. 393, p. 71-111, 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 A. Alla, A. De Luca, R. Folino, M. Strani: Stability properties of solutions to convection-reaction equations with nonlinear diffusion 2025 S. Almi, A. Baldi, M. Morandotti, F. Solombrino: A general perspective on CBO methods with stochastic rate of information (Submitted Paper) 2025 S. Almi, M. Caponi, M. Friedrich, F. Solombrino: A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations Mathematische Annalen 2025 S. Almi, M. Caponi, M. Friedrich, F. Solombrino: Geometric rigidity on Sobolev spaces with variable exponent and applications Nonlinear Differential Equations and Applications 2025 S. Almi, M. Caponi, M. Friedrich, F. Solombrino: Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits (Preprint) http://arxiv.org/abs/2510.04881 p. 30, 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, C. Leone, G. Manzo: Gradient regularity for double-phase orthotropic functionals (Preprint) 2025 S. Almi, D. Reggiani, F. Solombrino: Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity Nonlinear Analysis 2025 S. Almi, R. Rossi, G. Savaré: The superposition principle for the continuity equation with singular flux (Preprint) 2025 V. Amato, R. Barbato, S. Cito, A. L. Masiello, G. Paoli: A quantitative Talenti-type comparison result with Robin boundary conditions (Preprint) http://arxiv.org/abs/2511.11316 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, T. Ikonen, D. Lui, E. Pasqualetto: Metric Sobolev spaces II: dual energies and divergence measures (Preprint) http://arxiv.org/abs/2510.12424 2025 P. Ambrosio: Gradient bounds for a widely degenerate orthotropic parabolic equation (preprint) http://arxiv.org/abs/2511.01480 2025 P. Ambrosio: Gradient regularity for strongly singular or degenerate elliptic and parabolic equations Bruno Pini Mathematical Analysis Seminar (Accepted Paper) http://arxiv.org/abs/2511.05692 2025 P. Ambrosio: Regularity results for solutions to some classes of strongly degenerate elliptic and parabolic problems (Phd Thesis) 2025 P. Ambrosio, S. Ciani: Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations Ricerche di Matematica 2025 P. Ambrosio, G. Cupini, E. Mascolo: Regularity of vectorial minimizers for non-uniformly elliptic anisotropic integrals Nonlinear Analysis Vol. 261, 2025 P. Ambrosio, A. G. Grimaldi, A. Passarelli di Napoli: On the second-order regularity of solutions to widely singular or degenerate elliptic equations Annali di Matematica Pura ed Applicata 2025 F. Anceschi, G. Palatucci, M. Piccinini: De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions (Preprint) 2025 F. Anceschi, M. Piccinini: Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations NoDEA 2025 F. Ancona, L. Caravenna, A. Cliffe, E. Marconi: On the regularity of continuous solutions to multidimensional scalar conservation laws with $L^\infty$ source (Preprint) 2025 F. Ancona, A. Cesaroni, G. M. Coclite, M. Garavello: On the structure of optimal solutions of conservation laws at a junction with one incoming and one outgoing arc (Submitted Paper) http://arxiv.org/abs/2507.10090 2025 F. Ancona, E. Marconi, L. Talamini: Liouville type theorem and kinetic formulation for 2x2 systems of conservation laws (Preprint) 2025 G. 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Bouchitté: Structural properties of one-dimensional metric currents: SBV-representations, connectedness and the flat chain conjecture (Preprint) p. 52, 2025 A. Arroyo-Rabasa, S. Conti: Affine rigidity of functions with additive oscillation (preprint) http://arxiv.org/abs/2510.27360 2025 Arturo De Marinis, F. P. Maiale, A. Trofimova: Approximation bounds for norm constrained deep neural networks (preprint) http://arxiv.org/abs/2512.20422 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 J. Differ. Equ. 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 J. F. Babadjian, B. Buet, M. Goldman: Curvature penalization of strongly anisotropic interfaces models and their phase-field approximation (Submitted Paper) 2025 A. Bach: Emergence of topological and geometric defects in the $\Gamma$-limit of discrete energies Math. Eng. (Accepted Paper) 2025 A. Bach, M. Ruf: Stochastic homogenization of integral functionals defined on manifold-valued Sobolev maps (Preprint) 2025 F. Bagagiolo, E. Bertolazzi, L. Marzufero, A. Pegoretti, D. Rigotti: Modelling of the bonding process for a non-woven fabric: analysis and numerics Communications in Applied and Industrial Mathematics Vol. 16, N. 1, p. 62-81, 2025 F. Bagagiolo, R. Capuani, L. Marzufero: A zero-sum differential game for two opponent masses Partial Differential Equations and Applications Vol. 6, N. 19, 2025 A. Baldi, M. Morandotti: Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects (Submitted Paper) http://arxiv.org/abs/2507.14058 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 P. Ballard, F. Iurlano: Transition from Continuous to Jumping Solutions in 2D Quasi-static Elastic Contact Problems with Coulomb Friction: the Mathematics Underlying the Onset of Brake Squeal (Preprint) 2025 M. Bansil, A. R. Mészáros: Hidden monotonicity and canonical transformations for mean field games and master equations Forum Math. Sigma (Accepted Paper) http://arxiv.org/abs/2403.05426 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: Doubly nonlinear Schrödinger normalized ground states on 2D grids: existence results and singular limits (preprint) http://arxiv.org/abs/2511.00550 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, E. Bellini, A. Pinamonti: Curvature measures and the sub-Riemannian Gauss-Bonnet theorem (Preprint) p. 33, 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 Indiana University Mathematics Journal (Accepted Paper) http://arxiv.org/abs/2505.08984 2025 D. Bartolucci, Y. Hu, A. Jevnikar, J. Wei, W. Yang: A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions (preprint) http://arxiv.org/abs/2508.01849 2025 D. Bartolucci, A. Jevnikar, J. Wei, R. Wu: Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited (preprint) http://arxiv.org/abs/2507.20725 2025 D. Bartolucci, A. Jevnikar, J. Wei, R. Wu: The Rabinowitz continuum of subcritical Gelfand problems and free boundary-type equations arising in plasma physics (preprint) http://arxiv.org/abs/2511.15289 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 D. Bate, E. Caputo, J. Taká, P. Valentine, P. Wald: Structure of Metric $1$-currents: approximation by normal currents and representation results (preprint) http://arxiv.org/abs/2508.08017 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. 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Violo: Second-order estimates for the $p$-Laplacian in RCD spaces Journal of Differential Equations 2025 C. Bernardini, A. Cesaroni: Boundary value problems for Choquard equations Nonlinear Analysis Vol. 254, 2025 G. Bertazzoni, E. Davoli, S. Riccň, E. Zappale: Functions of bounded Musielak-Orlicz-type deformation and anisotropic Total Generalized Variation for image-denoising problems (Submitted Paper) 2025 A. Bertellotti, R. Buzano: Geometric Structure of Ends of Ricci Shrinkers (preprint) http://arxiv.org/abs/2508.10790 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. 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Morellini: Global well-posedness in a Hartree-Fock model for graphene J. Phys. A: Math. Theor. Vol. 58, N. 21, 2025 S. Borza, M. Magnabosco, T. Rossi, K. Tashiro: Curvature exponent of sub-Finsler Heisenberg groups SIAM Journal on Mathematical Analysis Vol. 57, N. 4, p. 3561-3586, 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 D. Bourne, B. Schmitzer, B. Wirth: Semi-discrete unbalanced optimal transport and quantization European Journal of Applied Mathematics p. 1-43, 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 F. Bozzola, E. Mainini: Equilibria of aggregation-diffusion models with nonlinear potentials (Submitted Paper) p. 37, 2025 F. Bozzola, M. Talluri: Maz'ya-type bounds for sharp constants in fractional Poincaré-Sobolev inequalities (Submitted Paper) p. 42, 2025 K. Bobotowski: Bi-martingale optimal transport and its applications (preprint) http://arxiv.org/abs/2510.27451 2025 K. Bobotowski, G. Bouchitté: Sharp inequalities between Zolotarev and Wasserstein distances in $\mathrm{P}_2(\mathbb{R}^d)$ (preprint) http://arxiv.org/abs/2511.00232 2025 A. Braides, F. Caragiulo: Modulated phases in Ising systems with long-range antiferromagnetic and short-range ferromagnetic interactions (Preprint) 2025 A. Braides, G. Dal Maso, C. Le Bris: A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations SIAM J. Math. Anal. (Accepted Paper) 2025 A. Braides, G. Noselli, S. Vincini: Elastic bodies with kinematic constraints on many small regions J. Math. Phys. Solids Vol. 196, N. 105972, 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 L. Brasco, L. Briani, F. Prinari: Extremals for sharp Poincaré-Sobolev inequalities: periodically perforated sets and beyond (Preprint) p. 40, 2025 M. Braun, N. Gigli, R. J. McCann, A. Ohanyan, C. Sämann: A Lorentzian splitting theorem for continuously differentiable metrics and weights (preprint) http://arxiv.org/abs/2507.06836 2025 K. Bredies, J. A. Iglesias, D. Walter: On extremal points for some vectorial total variation seminorms ESAIM: Control, Optimisation and Calculus of Variations Vol. 31, N. 92, 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 manuscripta math. 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 S. Brendle, R. Tsiamis, Y. Wang: On fill-ins with scalar curvature bounded from below and an inequality of Hijazi-Montiel-Roldán (preprint) http://arxiv.org/abs/2510.17780 2025 M. Bresciani: Anisotropic energies for the modeling of cavitation in nonlinear elasticity (preprint) http://arxiv.org/abs/2503.23143 2025 M. Bresciani, M. Friedrich: A variational approach to the emergence of domain structures in magnetostrictive solids (preprint) http://arxiv.org/abs/2507.14091 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 Comm. Math. Phys. (Accepted Paper) 2025 M. Briani, E. Cristiani, G. Franzina, F. Ignoto: Numerical Computation of Generalized Wasserstein Distances with Applications to Traffic Model Analysis (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. Brizzi, L. De Pascale, A. Kausamo: A regularized transportation cost stemming from entropic approximation (preprint) http://arxiv.org/abs/2501.03906 2025 C. Brizzi, G. Friesecke, T. Ried: $p$-Wasserstein barycenters Nonlinear Analysis Vol. 251, 2025 L. Bronsard, R. Neumayer, M. Novack, A. Skorobogatova: On the non-uniqueness of locally minimizing clusters via singular cones (Preprint) 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 C. Brune, M. Carioni, T. van Leeuwen: An invertible generative model for forward and inverse problems (Preprint) http://arxiv.org/abs/2509.03910 2025 G. C. Brusca: Multiscale homogenization of non-local energies of convolution-type (Submitted Paper) 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 Calc. Var. Partial Differential Equations Vol. 64, N. 243, 2025 E. Bruč, M. Colombo, C. J. P. Johansson: Lyapunov exponents, entropy and mixing for DiPerna-Lions flows (preprint) http://arxiv.org/abs/2510.02921 2025 E. Bruč, C. De Lellis: Some rigorous remarks on Migdal's momentum loop equation (Preprint) 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: Fukaya-Yamaguchi Conjecture in Dimension Four (Preprint) 2025 E. Bruč, A. Naber, D. Semola: Fundamental Groups and the Milnor Conjecture Ann. of Math. Vol. 201, p. 225-289, 2025 E. Bruč, A. Pigati, D. Semola: Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below Duke Math. J. (Accepted Paper) http://arxiv.org/abs/2405.03839 2025 D. Bucur, G. Buttazzo, A. de Villeroché: Optimal domains for the Cheeger inequality (Preprint) 2025 B. 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Vol. 391, N. 4, p. 4849-4879, 2025 A. Carbotti: The Pólya-Szegö principle in the fractional setting: a glimpse on nonlocal functional inequalities (Submitted Paper) http://arxiv.org/abs/2509.12023 p. 20, 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 A. Carbotti, S. Cito, D. Pallara: On the optimization of the Robin eigenvalues in some classes of polygons (Submitted Paper) http://arxiv.org/abs/2508.03502 p. 23, 2025 M. Carducci, G. Tortone: Smoothness and stability in the Alt-Phillips problem (preprint) http://arxiv.org/abs/2507.10336 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. 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Morandotti: Geometrically constrained walls in three dimensions Advances in Mathematical Sciences and Applications (Accepted 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. Cui, L. Wang, B. Zhou: Local potential and Hölder estimates for the linearized Monge-Ampčre equation (preprint) http://arxiv.org/abs/2511.03426 2025 L. D'Elia, E. Zappale: Relaxation of variational problems in the space of functions with bounded $\mathcal{B}$-variation: interaction with measures and lack of concentration phenomena (Preprint) http://arxiv.org/abs/2507.18781 2025 G. Dal Maso, D. 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Santambrogio: New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations Communications in Partial Differential Equations (Accepted Paper) 2025 N. David, F. Santambrogio, M. Schmidtchen: Uniform regularity estimates for nonlinear diffusion-advection equations in the hard-congestion limit Nonlinear Analysis (Accepted Paper) 2025 E. Davoli, G. Di Fratta, R. Giorgio, A. Pinamonti: Necessary and Sufficient Conditions for the Mazya--Shaposhnikova Formula in (Fractional) Sobolev Spaces (Preprint) http://arxiv.org/abs/2509.23226 2025 E. Davoli, C. Gavioli, V. Pagliari: Homogenization of high-contrast media in finite-strain elastoplasticity Nonlinear Analysis: Real World Applications (Accepted Paper) 2025 E. Davoli, C. Kuehn, L. Scarpa, L. Trussardi: Local asymptotics for the nonlocal Swift-Hohenberg equation (Submitted Paper) http://arxiv.org/abs/2511.02341 2025 P. 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Vitali: Variational evolution of discrete one-dimensional second-order functionals Math. Mech. Solids Vol. 30, N. 6, p. 1249-1281, 2025 M. Del Pino, M. Musso, A. Zuniga: Delaunay-like compact equilibria in the liquid drop model Archive Rational Mechanics Analysis Vol. 249, N. 74, p. 1--59, 2025 A. Delalande, S. Farinelli: Regularized Moment Measures (preprint) http://arxiv.org/abs/2506.13218 2025 F. Delarue, M. Martini, G. E. Sodini: HJB equations driven by the Dirichlet-Ferguson Laplacian in Wasserstein-Sobolev spaces (preprint) http://arxiv.org/abs/2511.03522 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 J. Deutsch: A note on the recovery sequence in the double gradient model for phase transitions (preprint) http://arxiv.org/abs/2510.01893 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, M. Innerberger, D. Praetorius, V. Slastikov: Energy minimization for skyrmions on planar thin films (Preprint) http://arxiv.org/abs/2509.23495 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: Euclid meets Heisenberg (Ph.D. Thesis) 2025 M. Di Marco: Intrinsic perimeter, compactness and Poincaré inequality for SBV functions in Carnot-Carathéodory spaces (preprint) http://arxiv.org/abs/2510.19380 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, N. 7, p. 4955-4990, 2025 M. 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Duran: The $\overline\partial$-Robin Laplacian (preprint) http://arxiv.org/abs/2507.16895 2025 J. Duran, A. Mas, T. Sanz-Perela: A connection between quantum dot Dirac operators and $\overline\partial$-Robin Laplacians in the context of shape optimization problems (preprint) http://arxiv.org/abs/2507.18698 2025 S. Dweik: Least gradient problem with nonhomogeneous term (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 $p \to \infty$ Forum Mathematicum (Accepted Paper) 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 B. Dyda, S. Jarohs, F. Sk: The Dirichlet problem for the Logarithmic $p$-Laplacian Trans. Amer. Math. Soc. (Accepted Paper) p. 52, 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, A. Fernández-Jiménez: A deterministic particle approximation for a fourth-order equation (preprint) http://arxiv.org/abs/2512.11441 2025 C. Elbar, A. Fernández-Jiménez, F. Santambrogio: A Li-Yau and Aronson-Bénilan approach for the Keller-Segel system with critical exponent (preprint) http://arxiv.org/abs/2512.17772 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 C. Elbar, F. Santambrogio: A cross-diffusion system with independent drifts and fast diffusion (preprint) http://arxiv.org/abs/2510.07937 2025 M. Eleuteri, L. Lussardi, A. Torricelli, E. Zappale: Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces (Submitted Paper) 2025 Emiliano Peńa Ayala, A. Nastasi, M. Vestberg: Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations (preprint) http://arxiv.org/abs/2508.02491 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 A. Fanizza: Gamma-convergence as $s\to1^-$ of anisotropic nonlocal fractional perimeter functionals (preprint) http://arxiv.org/abs/2509.13823 2025 S. Farinelli, A. Scagliotti: Normalizing flows as approximations of optimal transport maps via linear-control neural ODEs Nonlinear Analysis 2025 M. Fathi, M. Goldman, D. Tsodyks: Quantitative rigidity of the Wasserstein contraction under convolution (Submitted Paper) 2025 Z. Fattah, I. Ftouhi, E. Zuazua: Optimal L^p-approximation of convex sets by convex subsets Nonlinear Analysis 2025 Q. Fei, A. Jevnikar, S. H. Moon: Critical sinh-Gordon flow with non-negative weight functions (preprint) http://arxiv.org/abs/2511.03624 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 F. Ferrari, D. Giovagnoli, E. M. Merlino: On a fractional Alt-Caffarelli-Friedman-type monotonicity formula (preprint) http://arxiv.org/abs/2509.25891 2025 E. Ficola: Existence and duality results for BV solutions to linear-growth variational problems with measure data (Ph.D. Thesis) p. 183, 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 B. Firester, R. Tsiamis, Y. Wang: Uniqueness of Cylindrical Tangent Cones $C_{p,q} \times \mathbb{R}$ (preprint) http://arxiv.org/abs/2507.22373 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 E. Florit-Simon, J. Serra: On stable solutions to the Allen-Cahn equation with bounded energy density in $\mathbb{R}^4$ (preprint) http://arxiv.org/abs/2509.02739 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 L. Franchi: Osgood meets DiPerna-Lions (Degree Thesis) 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. 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Pansu: Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth (preprint) http://arxiv.org/abs/2510.12161 2025 K. Fässler, I. Y. Violo: On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part 2 (preprint) http://arxiv.org/abs/2505.15421 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: The double spherical cap rearrangement of planar sets (preprint) http://arxiv.org/abs/2509.13889 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 L. Ganedi, A. Marveggio, K. Stinson: Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Adv. Calc. Var. Vol. 18, N. 4, p. 1301-1325, 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 C. Gavioli, L. Happ, V. Pagliari: On the existence of extensions for manifold-valued Sobolev maps on perforated domains Journal of Functional Analysis Vol. 289, N. 11, p. 111142, 2025 M. Ghosh: Isoperimetric inequalities for the fractional composite membrane problem Arch. Math. (Basel) 2025 M. Ghosh: On the optimization of the first weighted eigenvalue of the fractional Laplacian Math. Nachr. Vol. 298, p. 32513271, 2025 M. Ghosh, A. Kachmar: Isoperimetric inequality with zero magnetic field in doubly connected domains (preprint) http://arxiv.org/abs/2505.08595 2025 L. Giaretto, N. Soave: On least energy solutions for a nonlinear Schrödinger system with $K$-wise interaction (preprint) http://arxiv.org/abs/2507.03480 2025 N. Gigli: Hyperbolic Banach spaces (preprint) http://arxiv.org/abs/2503.10467 2025 N. Gigli: Pills of measure theory on Polish spaces (Lecture Notes) 2025 N. Gigli: Some examples of use of transfinite induction in analysis (preprint) http://arxiv.org/abs/2512.16973 2025 J. Ginster, A. Ruland, A. Tribuzio, B. Zwicknagl: On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations Annales de l'Institut Henri Poincaré C 2025 R. Giorgio, L. Happ, H. Schönberger: Homogenization of nonlocal exchange energies in micromagnetics SIAM Journal on Mathematical Analysis (SIMA) (Accepted Paper) http://arxiv.org/abs/2507.13262 2025 D. Giovagnoli, D. Jesus, L. 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Grosjean, A. Lemenant, R. Mougenot: Reilly inequality for varifolds (Preprint) 2025 G. Gu, A. Jevnikar: Nonlocal problems with Hardy-Littlewood-Sobolev critical exponent and Hardy potential Z. Angew. Math. Phys. (Accepted Paper) http://arxiv.org/abs/2509.15697 2025 G. Gu, A. Jevnikar: On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent (preprint) http://arxiv.org/abs/2509.15806 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: Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant (Submitted Paper) 2025 A. Guerra, X. Lamy, K. Zemas: On the existence of degenerate solutions of the two-dimensional H-system Comptes Rendus Mathématiques, L'Académie des Sciences Vol. 363, p. 271-281, 2025 A. Guerra, X. Lamy, K. 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Lavenant: Gradient Flows of Potential Energies in the Geometry of Sinkhorn Divergences (preprint) http://arxiv.org/abs/2511.14278 2025 J. He, Q. Li, J. Wei, H. Yang: Flow approach on Riesz type nonlocal energies (Preprint) http://arxiv.org/abs/2505.19655 2025 T. Heilmann: $$-convergence for nonlocal phase transitions involving the $H^{1/2}$ norm (preprint) http://arxiv.org/abs/2507.11054 2025 J. Hoeksema, R. Rossi, O. Tse: Singular jump processes as generalized gradient flows (preprint) http://arxiv.org/abs/2509.19138 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 Y. Huang, Q. Li, S. Xie, H. Yang: Flow approach on the monotonicity of shape functionals (Preprint) http://arxiv.org/abs/2502.09485 2025 J. Jackson, A. R. Mészáros: Quantitative convergence for displacement monotone Mean Field Games of control (Preprint) http://arxiv.org/abs/2507.17014 2025 C. Jimenez: Addendum to: Equivalence between strict viscosity solution and viscosity solution in the Wasserstein Space and regular extension of the Hamiltonian in L^2_P (Preprint) 2025 V. Julin, D. A. La Manna: Convergence of the volume preserving fractional mean curvature flow for convex sets ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 30. (Accepted Paper) http://arxiv.org/abs/2307.03912v3 2025 L. Koch, M. Ruf, M. Schäffner: On the Lavrentiev gap for convex, vectorial integral functionals J. Funct. Anal. Vol. 288, 2025 S. Kolasiski, M. Santilli: Quadratic flatness and Regularity for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature (Submitted Paper) http://arxiv.org/abs/2507.18357 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 metric measure spaces (Preprint) 2025 J. Krukowski, A. Marchese: On the lower semicontinuity of the Lagrangian $H$-mass (Preprint) 2025 M. Kruzik, E. Mainini: Linearization of finite elasticity with surface tension J. Nonlinear. Sci. Vol. 35, N. 63, 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 S. Kryzhevich, E. Stepanov: Minimal points and non-holonomic controlability on compact manifolds (Preprint) 2025 S. Kryzhevich, E. Stepanov, D. Trevisan: Chow and Rachevsky meet Sobolev (Preprint) 2025 A. Kubin: On a variational scheme modeling the anisotropic surface diffusion with elasticity in the plane Calculus of Variations and Partial Differential Equations (Accepted Paper) 2025 A. Kubin, D. A. La Manna, E. Pasqualetto: A variational approach to the volume-preserving anisotropic mean curvature flow in 2D (Preprint) http://arxiv.org/abs/2508.03134 2025 A. Kubin, V. Pagliari, A. Tribuzio: Second-order asymptotics of fractional Gagliardo seminorms as $s\to1^-$ and convergence of the associated gradient flows Fractional Calculus and Applied Analysis 2025 A. Kubin, G. Saracco, G. Stefani: On the $\Gamma$-limit of weighted fractional energies Proc. Roy. Soc. Edinburgh Sect. A 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 p. 31, 2025 R. Kumar, V. Naik: Positive solutions to semipositone problems on Heisenberg group (preprint) http://arxiv.org/abs/2511.08104 2025 R. Kumar, A. Ortega: Fractional critical systems with mixed boundary conditions (Preprint) http://arxiv.org/abs/2510.04975v1 p. 20, 2025 D. A. La Manna, R. Sannipoli: Some isoperimetric inequalities involving the boundary momentum J. Optim. Theory Appl. (Accepted Paper) http://arxiv.org/abs/2309.14191 Vol. 207, 2025 C. Labourie, A. Lemenant: Finite number of traces for Mumford-Shah minimizers in dimension 2 (Preprint) http://arxiv.org/abs/2509.24426 2025 C. Labourie, A. Lemenant: Uniform concentration property for Griffith almost-minimizers J. Math. Pures Appl. Vol. 194, 2025 F. Lai: The Gross-Pitaewskii equation with time and space dependent coefficients (preprint) http://arxiv.org/abs/2509.06001 2025 L. Lamberti, A. Lemenant: Quantitative regularity properties for the optimal design problem (Preprint) 2025 J. Lamboley, M. Nahon: Boundary regularity of a fourth order Alt-Caffarelli problem and applications to the minimization of the critical buckling load (preprint) http://arxiv.org/abs/2512.18626 2025 X. Lamy, E. Marconi: Rectifiability of entropy productions for weak solutions of the 2D eikonal equation with supercritical regularity (Preprint) 2025 M. Langford, A. Mramor, L. Yudowitz: An Ancient Stacked Pancake Solution to Mean Curvature Flow (preprint) http://arxiv.org/abs/2509.26515 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, S. Nicolussi Golo, S. Y. Ryoo: Asymptotics of Riemannian Lie groups with nilpotency step 2 (preprint) http://arxiv.org/abs/2503.00560 2025 E. Le Donne, L. Nalon, N. Paddeu, S. Verzellesi: Hypergenerated Carnot groups (Preprint) 2025 E. Le Donne, S. Nicolussi Golo, N. Paddeu: Normal Curves in Sub-Finsler Lie Groups: Branching for Strongly Convex Norms and Face Stability for Polyhedral Norms (preprint) http://arxiv.org/abs/2510.26261 2025 G. P. Leonardi, G. Vianello: Stability of axial free-boundary hyperplanes in circular cones Calc. Var. PDE (Accepted Paper) http://arxiv.org/abs/2502.21205v3 2025 C. Leone, G. Scilla, F. Solombrino, A. Verde: Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth (Preprint) 2025 C. Leone, G. Scilla, F. Solombrino, A. Verde: Lipschitz regularity of almost-minimizers in two-phase free boundary problems with generalized Orlicz growth (Preprint) 2025 C. Leone, G. Scilla, F. Solombrino, A. 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Syst.-Series S (Accepted Paper) http://arxiv.org/abs/2512.11370 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: Fractional Sobolev spaces via interpolation, and applications to mixed local-nonlocal operators Chapter in the contributed volume: "New Frontiers in Homogenization and Fractional Calculus", Trends in Mathematics series, Springer-Birkhäuser (Accepted Paper) http://arxiv.org/abs/2509.14703 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 Vol. 25, N. 84, 2025 C. Maor, M. G. Mora: Rigorous analysis of shape transitions in frustrated elastic ribbons (Submitted Paper) 2025 P. Marcellini, A. Nastasi, C. 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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 blow-ups of sets with finite fractional variation (Submitted Paper) http://arxiv.org/abs/2511.03854 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 S. Stuvard, Y. Tonegawa: The epsilon-regularity theorem for Brakke flows near triple junctions (Submitted Paper) http://arxiv.org/abs/2510.02969 2025 L. Talamini: Strong time regularity and decay of $\mathbf L^\infty$ solutions to $2\times 2$ systems of conservation laws (Preprint) 2025 E. Tasso, T. 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