On the porosity of the free boundary in the p(x)-obstacle problem

Samia Challal; Abdeslem Lyaghfouri

doi:10.4171/PM/1883

On the porosity of the free boundary in the p(x)-obstacle problem

Samia Challal, Abdeslem Lyaghfouri

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

4 Citations (Scopus)

Abstract

In this paper we consider the obstacle problem for the p(x)-Laplace operator. Assuming that p is locally Lipschitz continuous, we establish the growth rate of the solution near the free boundary from which we deduce its porosity.

Original language	English
Pages (from-to)	109-123
Number of pages	15
Journal	Portugaliae Mathematica
Volume	68
Issue number	1
DOIs	https://doi.org/10.4171/PM/1883
Publication status	Published - 2011
Externally published	Yes

Keywords

Free boundary
Obstacle problem
P(x)-Laplacian
Porosity

ASJC Scopus subject areas

General Mathematics

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10.4171/PM/1883

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abstract = "In this paper we consider the obstacle problem for the p(x)-Laplace operator. Assuming that p is locally Lipschitz continuous, we establish the growth rate of the solution near the free boundary from which we deduce its porosity.",

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AU - Lyaghfouri, Abdeslem

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KW - Obstacle problem

KW - P(x)-Laplacian

KW - Porosity

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On the porosity of the free boundary in the p(x)-obstacle problem

Abstract

Keywords

ASJC Scopus subject areas

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