Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains
type: Item
instance of: scholarly article
title: Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains
zbMATH Open document ID: 1319.35052
author: Alejandro Vélez-Santiago
published in: Journal of Functional Analysis
publication date: 2015-05-18T00:00:00Z
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 58J05
zbMATH DE Number: 6436317
zbMATH Keywords: \(W^{1,p}\)-extension domains
zbMATH Keywords: upper \(d\)-Ahlfors measure
zbMATH Keywords: nonlocal boundary conditions
zbMATH Keywords: Hölder continuity
MaRDI profile type: Publication
full work available at URL: j.jfa.2015.04.016
OpenAlex ID: W1964155308
cites work: Trace results on domains with self-similar fractal boundaries
cites work: Martin boundary of a fractal domain
cites work: Probabilistic solution of the general Robin boundary value problem on arbitrary domains
cites work: The Laplacian with Robin boundary conditions on arbitrary domains
cites work: On the Robin problem in fractal domains
cites work: Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
cites work: TheNeumann Laplacian on spaces of continuous functions
cites work: On traces of Sobolev functions on the boundary of extension domains
cites work: A priori estimates for the difference of solutions to quasi-linear elliptic equations
cites work: Some quasi-linear elliptic equations with inhomogeneous generalized Robin boundary conditions on ``bad'' domains
cites work: An embedding theorem and the harnack inequality for nonlinear subelliptic equations
cites work: Subelliptic mollifiers and a basic pointwise estimate of Poincaré type
cites work: Q3023962
cites work: Heat kernel estimates for stable-like processes on \(d\)-sets.
cites work: Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
cites work: Q3252874
cites work: Q3414547
cites work: Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps
cites work: Q4040640
cites work: Sobolev embeddings, extensions and measure density condition
cites work: Q3869782
cites work: Quasiconformal mappings and extendability of functions in Sobolev spaces
cites work: Q4347092
cites work: Q4305610
cites work: Poisson kernel characterization of Reifenberg flat chord arc domains
cites work: Linear and quasilinear elliptic equations
cites work: Venttsel' problems in fractal domains
cites work: A stability result for nonlinear Neumann problems in Reifenberg flat domains in \(\mathbb R^N\)
cites work: Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
cites work: On the extension property of Reifenberg-flat domains
cites work: Q4328334
cites work: Q3995421
cites work: Q4216744
cites work: Boundary value problems for some degenerate-elliptic operators
cites work: Q3094428
cites work: Q4332942
cites work: On extensions of Sobolev functions defined on regular subsets of metric measure spaces
cites work: Q4221203
cites work: Q3336200
cites work: Entropy Numbers and Approximation Numbers in Function Spaces, II
cites work: Q5481429
cites work: Quasi-linear boundary value problems with generalized nonlocal boundary conditions
cites work: Solvability of linear local and nonlocal Robin problems over \(C (\overline {\varOmega})\)
cites work: Quasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditions
cites work: Q3195444
cites work: A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions
cites work: The trace to the boundary of Sobolev spaces on a snowflake
cites work: The Robin and Wentzell-Robin Laplacians on Lipschitz domains
cites work: Regularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domains
cites work: A Sobolev extension domain that is not uniform
cites work: Harmonic calculus on fractals—A measure geometric approach II
cites work: Change of variables for absolutely continuous functions
DOI: 10.1016/J.JFA.2015.04.016
description: scientific article