EXISTENCE AND SYMMETRY RESULTS FOR A SCHRODINGER TYPE PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN S Dipierro, G Palatucci, E Valdinoci Le Matematiche, to appear 68 (1), 2013 | 279 | 2013 |
Nonlocal problems with Neumann boundary conditions S Dipierro, X Ros-Oton, E Valdinoci Revista Matemática Iberoamericana 33 (2), 377-416, 2017 | 277 | 2017 |
Fractional elliptic problems with critical growth in the whole of Rn S Dipierro, M Medina, E Valdinoci Scuola Normale Superiore, 2017 | 204 | 2017 |
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum J Dávila, M Del Pino, S Dipierro, E Valdinoci Analysis & PDE 8 (5), 1165-1235, 2015 | 136 | 2015 |
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting S Dipierro, G Palatucci, E Valdinoci Communications in Mathematical Physics 333, 1061-1105, 2015 | 109 | 2015 |
All functions are locally -harmonic up to a small error S Dipierro, O Savin, E Valdinoci Journal of the European Mathematical Society 19 (4), 957-966, 2017 | 108 | 2017 |
Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential S Dipierro, L Montoro, I Peral, B Sciunzi Calculus of Variations and Partial Differential Equations 55, 1-29, 2016 | 106 | 2016 |
Mixed local and nonlocal elliptic operators: regularity and maximum principles S Biagi, S Dipierro, E Valdinoci, E Vecchi Communications in Partial Differential Equations 47 (3), 585-629, 2022 | 102 | 2022 |
Hardy inequalities on Riemannian manifolds and applications L D'Ambrosio, S Dipierro Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2013 | 97 | 2013 |
(Non) local logistic equations with Neumann conditions S Dipierro, EP Lippi, E Valdinoci Annales de l'Institut Henri Poincaré C 40 (5), 1093-1166, 2022 | 84 | 2022 |
Asymptotics of the s-perimeter as s↘ 0 S Dipierro, A Figalli, G Palatucci, E Valdinoci Discrete Contin. Dyn. Syst. 33 (7), 2777-2790, 2013 | 83* | 2013 |
Semilinear elliptic equations involving mixed local and nonlocal operators S Biagi, E Vecchi, S Dipierro, E Valdinoci Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (5 …, 2021 | 82 | 2021 |
Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy … S Dipierro, E Valdinoci Physica A: Statistical Mechanics and its Applications 575, 126052, 2021 | 71 | 2021 |
On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results S Dipierro, N Soave, E Valdinoci Mathematische Annalen 369, 1283-1326, 2017 | 65 | 2017 |
Strongly nonlocal dislocation dynamics in crystals S Dipierro, A Figalli, E Valdinoci Communications in Partial Differential Equations 39 (12), 2351-2387, 2014 | 64 | 2014 |
Boundary behavior of nonlocal minimal surfaces S Dipierro, O Savin, E Valdinoci Journal of Functional Analysis 272 (5), 1791-1851, 2017 | 58 | 2017 |
Linear theory for a mixed operator with Neumann conditions S Dipierro, E Proietti Lippi, E Valdinoci Asymptotic Analysis 128 (4), 571-594, 2022 | 54 | 2022 |
A Faber-Krahn inequality for mixed local and nonlocal operators S Biagi, S Dipierro, E Valdinoci, E Vecchi Journal d'Analyse Mathématique 150 (2), 405-448, 2023 | 53 | 2023 |
Decay estimates for evolutionary equations with fractional time-diffusion S Dipierro, E Valdinoci, V Vespri Journal of Evolution Equations 19, 435-462, 2019 | 53 | 2019 |
Bifurcation results for a fractional elliptic equation with critical exponent in S Dipierro, M Medina, I Peral, E Valdinoci manuscripta mathematica 153, 183-230, 2017 | 53 | 2017 |