Hölder continuity up to the boundary for a class of fractional obstacle problems
type: Item
instance of: scholarly article
title: Hölder continuity up to the boundary for a class of fractional obstacle problems
zbMATH Open document ID: 1344.35159
DOI: 10.4171/RLM/739
author: Janne Korvenpää
author: Tuomo Kuusi
author: Giampiero Palatucci
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2016-08-10T00:00:00Z
review text: Summary: We deal with the obstacle problem for a class of nonlinear integro-differential operators, whose model is the fractional \(p\)-Laplacian with measurable coefficients. In accordance with well-known results for the analog for the pure fractional Laplacian operator, the corresponding solutions inherit regularity properties from the obstacle, both in the case of boundedness, continuity, and Hölder continuity, up to the boundary.
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 6610795
zbMATH Keywords: quasilinear nonlocal operators
zbMATH Keywords: fractional Sobolev spaces
zbMATH Keywords: nonlocal tail
zbMATH Keywords: Caccioppoli estimates
zbMATH Keywords: obstacle problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/rlm/739
OpenAlex ID: W2466549727
description: scientific article; zbMATH DE number 6610795