Hölder continuity of solutions to the A-laplace equation involving measures

Samia Challal; Abdeslem Lyaghfouri

doi:10.3934/cpaa.2009.8.1577

Hölder continuity of solutions to the A-laplace equation involving measures

Samia Challal, Abdeslem Lyaghfouri

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

13 Citations (Scopus)

Abstract

We show an optimal Hölder continuity for the solutions of the equation - Δ_Au = μ provided that μ (B(x, r)) ≤ Cr ^n-1 for any ball B(x, r) ⊂ Ω, with r ≤ 1.

Original language	English
Pages (from-to)	1577-1583
Number of pages	7
Journal	Communications on Pure and Applied Analysis
Volume	8
Issue number	5
DOIs	https://doi.org/10.3934/cpaa.2009.8.1577
Publication status	Published - Sept 2009
Externally published	Yes

Keywords

A-Laplacian
Hölder continuity
Radon measure

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2009.8.1577

Cite this

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title = "H{\"o}lder continuity of solutions to the A-laplace equation involving measures",

abstract = "We show an optimal H{\"o}lder continuity for the solutions of the equation - ΔAu = μ provided that μ (B(x, r)) ≤ Cr n-1 for any ball B(x, r) ⊂ Ω, with r ≤ 1.",

keywords = "A-Laplacian, H{\"o}lder continuity, Radon measure",

author = "Samia Challal and Abdeslem Lyaghfouri",

year = "2009",

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doi = "10.3934/cpaa.2009.8.1577",

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T1 - Hölder continuity of solutions to the A-laplace equation involving measures

AU - Challal, Samia

AU - Lyaghfouri, Abdeslem

PY - 2009/9

Y1 - 2009/9

N2 - We show an optimal Hölder continuity for the solutions of the equation - ΔAu = μ provided that μ (B(x, r)) ≤ Cr n-1 for any ball B(x, r) ⊂ Ω, with r ≤ 1.

AB - We show an optimal Hölder continuity for the solutions of the equation - ΔAu = μ provided that μ (B(x, r)) ≤ Cr n-1 for any ball B(x, r) ⊂ Ω, with r ≤ 1.

KW - A-Laplacian

KW - Hölder continuity

KW - Radon measure

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DO - 10.3934/cpaa.2009.8.1577

M3 - Article

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SN - 1534-0392

VL - 8

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EP - 1583

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 5

ER -

Hölder continuity of solutions to the A-laplace equation involving measures

Abstract

Keywords

ASJC Scopus subject areas

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