Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order

Abstract

We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.

arXiv comment28 pages, 2 figures, slight modifications and corrections

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Cited by in corpus (4)

• The Wiener criterion for nonlocal Dirichlet problems
• The concentration-compactness principle for the nonlocal anisotropic $p$-Laplacian of mixed order
• Local Hölder regularity for nonlocal equations with variable powers
• Local Hölder Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights