Regional fractional Laplacians: boundary regularity

DOI10.1016/j.jde.2022.02.040zbMath1486.35424arXiv2007.04808OpenAlexW3041432677MaRDI QIDQ2118898

Mouhamed Moustapha Fall

Publication date: 23 March 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04808

zbMATH Keywords

Hölder regularitygradient estimatesboundary regularityregional fractional Laplaciancensored fractional Laplacianscensored processes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Fractional partial differential equations (35R11) Harmonic analysis and PDEs (42B37)

Related Items

Global Schauder theory for minimizers of the \(H^s(\Omega)\) energy ⋮ Fractional Laplacians : a short survey ⋮ Characterization of fractional Sobolev-Poincaré and (localized) Hardy inequalities ⋮ Finite element discretizations for variable-order fractional diffusion problems ⋮ Existence results for nonlocal problems governed by the regional fractional Laplacian ⋮ Semilinear nonlocal elliptic equations with source term and measure data ⋮ Potential theory of Dirichlet forms degenerate at the boundary: the case of no Killing potential ⋮ Viscosity Solutions for Nonlocal Equations with Space-Dependent Operators ⋮ The eigenvalue problem for the regional fractional Laplacian in the small order limit ⋮ Non-local diffusion problems with Neumann type boundary values ⋮ Magnetic fractional Poincaré inequality in punctured domains ⋮ On the \(s\)-derivative of weak solutions of the Poisson problem involving the regional fractional Laplacian

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