HÖLDER CONTINUITY FOR THE SOLUTIONS OF THE p(x)-LAPLACE EQUATION WITH GENERAL RIGHT-HAND SIDE

Abdeslem Lyaghfouri

doi:10.3336/gm.57.1.03

HÖLDER CONTINUITY FOR THE SOLUTIONS OF THE p(x)-LAPLACE EQUATION WITH GENERAL RIGHT-HAND SIDE

Abdeslem Lyaghfouri

Department of Mathematical Sciences

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

Abstract

We show that bounded solutions of the quasilinear elliptic equation ∆_p(x) u = g + div(F) are locally Hölder continuous provided that the functions g and F are in suitable Lebesgue spaces.

Original language	English
Pages (from-to)	35-47
Number of pages	13
Journal	Glasnik Matematicki
Volume	57
Issue number	1
DOIs	https://doi.org/10.3336/gm.57.1.03
Publication status	Published - Jun 28 2022

Keywords

Hölder continuity
p(x)-Laplacian

ASJC Scopus subject areas

General Mathematics

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10.3336/gm.57.1.03

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title = "H{\"O}LDER CONTINUITY FOR THE SOLUTIONS OF THE p(x)-LAPLACE EQUATION WITH GENERAL RIGHT-HAND SIDE",

abstract = "We show that bounded solutions of the quasilinear elliptic equation ∆p(x) u = g + div(F) are locally H{\"o}lder continuous provided that the functions g and F are in suitable Lebesgue spaces.",

keywords = "H{\"o}lder continuity, p(x)-Laplacian",

author = "Abdeslem Lyaghfouri",

year = "2022",

month = jun,

day = "28",

doi = "10.3336/gm.57.1.03",

language = "English",

volume = "57",

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journal = "Glasnik Matematicki",

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publisher = "Croatian Mathematical Society",

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AU - Lyaghfouri, Abdeslem

PY - 2022/6/28

Y1 - 2022/6/28

N2 - We show that bounded solutions of the quasilinear elliptic equation ∆p(x) u = g + div(F) are locally Hölder continuous provided that the functions g and F are in suitable Lebesgue spaces.

AB - We show that bounded solutions of the quasilinear elliptic equation ∆p(x) u = g + div(F) are locally Hölder continuous provided that the functions g and F are in suitable Lebesgue spaces.

KW - Hölder continuity

KW - p(x)-Laplacian

UR - https://www.scopus.com/pages/publications/85135468378

UR - https://www.scopus.com/pages/publications/85135468378#tab=citedBy

U2 - 10.3336/gm.57.1.03

DO - 10.3336/gm.57.1.03

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AN - SCOPUS:85135468378

SN - 0017-095X

VL - 57

SP - 35

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JO - Glasnik Matematicki

JF - Glasnik Matematicki

IS - 1

ER -

HÖLDER CONTINUITY FOR THE SOLUTIONS OF THE p(x)-LAPLACE EQUATION WITH GENERAL RIGHT-HAND SIDE

Abstract

Keywords

ASJC Scopus subject areas

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