Gradient estimates for p(x)-harmonic functions

S. Challal; A. Lyaghfouri

doi:10.1007/s00229-009-0326-8

Gradient estimates for p(x)-harmonic functions

S. Challal
, A. Lyaghfouri

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

14 Citations (Scopus)

Abstract

We establish an a priori gradient estimate for the solutions of the quasilinear p(x)-Laplace equation Δ_p(x)u = 0.

Original language	English
Pages (from-to)	403-414
Number of pages	12
Journal	Manuscripta Mathematica
Volume	131
Issue number	3-4
DOIs	https://doi.org/10.1007/s00229-009-0326-8
Publication status	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Gradient estimates for p(x)-harmonic functions",

abstract = "We establish an a priori gradient estimate for the solutions of the quasilinear p(x)-Laplace equation Δp(x)u = 0.",

author = "S. Challal and A. Lyaghfouri",

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language = "English",

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journal = "Manuscripta Mathematica",

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AU - Challal, S.

AU - Lyaghfouri, A.

PY - 2010

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N2 - We establish an a priori gradient estimate for the solutions of the quasilinear p(x)-Laplace equation Δp(x)u = 0.

AB - We establish an a priori gradient estimate for the solutions of the quasilinear p(x)-Laplace equation Δp(x)u = 0.

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VL - 131

SP - 403

EP - 414

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 3-4

ER -

Gradient estimates for p(x)-harmonic functions

Abstract

ASJC Scopus subject areas

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