Hölder continuity up to the boundary for a class of fractional obstacle problems

Janne Korvenpää; Tuomo Kuusi; Giampiero Palatucci

doi:10.4171/RLM/739

Hölder continuity up to the boundary for a class of fractional obstacle problems

Janne Korvenpää, Tuomo Kuusi, Giampiero Palatucci

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

8 Citations (Scopus)

Abstract

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 Holder continuity, up to the boundary.

Original language	English
Pages (from-to)	355-367
Number of pages	13
Journal	RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI
Volume	27
Issue number	3
DOIs	https://doi.org/10.4171/RLM/739
Publication status	Published - 2016
MoE publication type	A1 Journal article-refereed

Keywords

Quasilinear nonlocal operators
fractional Sobolev spaces
nonlocal tail
Caccioppoli estimates
obstacle problem
REGULARITY
LAPLACIAN

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AU - Kuusi, Tuomo

AU - Palatucci, Giampiero

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KW - Quasilinear nonlocal operators

KW - fractional Sobolev spaces

KW - nonlocal tail

KW - Caccioppoli estimates

KW - obstacle problem

KW - REGULARITY

KW - LAPLACIAN

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ER -

Hölder continuity up to the boundary for a class of fractional obstacle problems

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Keywords

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