Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes M Cozzi Journal of Functional Analysis 272 (11), 4762-4837, 2017 | 119 | 2017 |
Interior regularity of solutions of non-local equations in Sobolev and Nikol’skii spaces M Cozzi Annali di Matematica Pura ed Applicata (1923-) 196, 555-578, 2017 | 71 | 2017 |
Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations M Cozzi, A Farina, E Valdinoci Communications in Mathematical Physics 331 (1), 189–214, 2014 | 50 | 2014 |
A gradient estimate for nonlocal minimal graphs X Cabré, M Cozzi Duke Mathematical Journal 168 (5), 775-848, 2019 | 44 | 2019 |
Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs M Cozzi, A Farina, E Valdinoci Advances in Mathematics 293, 343-381, 2016 | 43 | 2016 |
An elliptic boundary value problem with fractional nonlinearity N Abatangelo, M Cozzi SIAM Journal on Mathematical Analysis 53 (3), 3577-3601, 2021 | 41 | 2021 |
Regularity theory for local and nonlocal minimal surfaces: an overview JA Carrillo, M del Pino, A Figalli, G Mingione, JL Vázquez, M Cozzi, ... Nonlocal and Nonlinear Diffusions and Interactions: New Methods and …, 2017 | 39* | 2017 |
One-dimensional solutions of non-local Allen–Cahn-type equations with rough kernels M Cozzi, T Passalacqua Journal of Differential Equations 260 (8), 6638-6696, 2016 | 36 | 2016 |
On nonlocal minimal graphs M Cozzi, L Lombardini Calculus of Variations and Partial Differential Equations 60 (4), 136, 2021 | 25 | 2021 |
Planelike interfaces in long-range Ising models and connections with nonlocal minimal surfaces M Cozzi, S Dipierro, E Valdinoci Journal of Statistical Physics 167 (6), 1401–1451, 2017 | 22 | 2017 |
On the variation of the fractional mean curvature under the effect of C1, α perturbations M Cozzi Discrete and Continuous Dynamical Systems. Series A. 35 (12), 5769-5786, 2015 | 19 | 2015 |
Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium M Cozzi, E Valdinoci Journal de l'École polytechnique - Mathématiques 4, 337-388, 2017 | 16 | 2017 |
Long-time asymptotics for evolutionary crystal dislocation models M Cozzi, J Dávila, M del Pino Advances in Mathematics 371, 107242, 2020 | 13 | 2020 |
Fractional De Giorgi classes and applications to nonlocal regularity theory M Cozzi Contemporary research in elliptic PDEs and related topics, 277-299, 2019 | 10 | 2019 |
Nonlocal phase transitions in homogeneous and periodic media M Cozzi, S Dipierro, E Valdinoci Journal of Fixed Point Theory and Applications 19 (1), 387-405, 2017 | 10 | 2017 |
Global gradient regularity and a Hopf lemma for quasilinear operators of mixed local-nonlocal type CA Antonini, M Cozzi Journal of Differential Equations 425, 342-382, 2025 | 9 | 2025 |
A fractional Michael–Simon Sobolev inequality on convex hypersurfaces X Cabré, M Cozzi, G Csató Annales de l'Institut Henri Poincaré C 40 (1), 185-214, 2022 | 8 | 2022 |
A quantitative version of the Gidas-Ni-Nirenberg Theorem G Ciraolo, M Cozzi, M Perugini, L Pollastro Journal of Functional Analysis 287 (9), 110585, 2024 | 6 | 2024 |
Bernstein-Moser-type results for nonlocal minimal graphs M Cozzi, A Farina, L Lombardini Communications in Analysis and Geometry 29 (4), 761-777, 2021 | 6 | 2021 |
Planelike minimizers of nonlocal Ginzburg-Landau energies and fractional perimeters in periodic media M Cozzi, E Valdinoci Nonlinearity 31 (7), 3013-3056, 2018 | 6 | 2018 |