Gradient estimates for the p(x)-laplacian equation in RN

Chao Zhang; Shulin Zhou; Bin Ge

doi:10.4064/ap114-1-4

Gradient estimates for the p(x)-laplacian equation in R^N

Chao Zhang^*
, Shulin Zhou
, Bin Ge

^*Corresponding author for this work

School of Mathematics

Peking University
Harbin Institute of Technology

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

5 Scopus citations

Abstract

Under some assumptions on the function p(x), we obtain global gradient estimates for weak solutions of the p(x)-Laplacian type equation in R^N.

Original language	English
Pages (from-to)	45-65
Number of pages	21
Journal	Annales Polonici Mathematici
Volume	114
Issue number	1
DOIs	https://doi.org/10.4064/ap114-1-4
State	Published - 2015

Keywords

Elliptic
Gradient estimates
p(x)-Laplacian

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10.4064/ap114-1-4

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title = "Gradient estimates for the p(x)-laplacian equation in RN",

abstract = "Under some assumptions on the function p(x), we obtain global gradient estimates for weak solutions of the p(x)-Laplacian type equation in RN.",

keywords = "Elliptic, Gradient estimates, p(x)-Laplacian",

author = "Chao Zhang and Shulin Zhou and Bin Ge",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2015.",

year = "2015",

doi = "10.4064/ap114-1-4",

language = "英语",

volume = "114",

pages = "45--65",

journal = "Annales Polonici Mathematici",

issn = "0066-2216",

publisher = "Institute of Mathematics. Polish Academy of Sciences",

number = "1",

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T1 - Gradient estimates for the p(x)-laplacian equation in RN

AU - Zhang, Chao

AU - Zhou, Shulin

AU - Ge, Bin

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2015.

PY - 2015

Y1 - 2015

N2 - Under some assumptions on the function p(x), we obtain global gradient estimates for weak solutions of the p(x)-Laplacian type equation in RN.

AB - Under some assumptions on the function p(x), we obtain global gradient estimates for weak solutions of the p(x)-Laplacian type equation in RN.

KW - Elliptic

KW - Gradient estimates

KW - p(x)-Laplacian

UR - https://www.scopus.com/pages/publications/84928561683

U2 - 10.4064/ap114-1-4

DO - 10.4064/ap114-1-4

M3 - 文章

AN - SCOPUS:84928561683

SN - 0066-2216

VL - 114

SP - 45

EP - 65

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

IS - 1

ER -

Gradient estimates for the p(x)-laplacian equation in R^N

Abstract

Keywords

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