Gradient estimates for a class of anisotropic nonlocal operators

DOI10.1007/S00030-019-0571-9zbMath1418.35360arXiv1809.08674OpenAlexW2954288943MaRDI QIDQ2316074

Alberto Farina, Enrico Valdinoci

Publication date: 26 July 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08674

zbMATH Keywords

regularity theoryanisotropic nonlocal elliptic equationsmodulus of continuity of the solutions

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

Mixed local and nonlocal elliptic operators: regularity and maximum principles

Cites Work

• Unnamed Item
• Nonlocal diffusion and applications
• Regularity theory for general stable operators
• Hitchhiker's guide to the fractional Sobolev spaces
• Regularity and rigidity theorems for a class of anisotropic nonlocal operators
• The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains
• Regularity estimates for nonlocal Schrödinger equations
• Fractional calculus for power functions and eigenvalues of the fractional Laplacian
• Interior estimates for second-order elliptic differential (or finite- difference) equations via the maximum principle

This page was built for publication: Gradient estimates for a class of anisotropic nonlocal operators