Higher integrability for nonlinear elliptic equations with variable growth

Xia Zhang; Yongqiang Fu

doi:10.1016/j.na.2013.07.024

Higher integrability for nonlinear elliptic equations with variable growth

Xia Zhang^*
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

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

Abstract

In this paper, based on the theory of variable exponent spaces, we study the regularity for a class of nonlinear elliptic equation with p(x)-Laplacian. Under suitable assumptions, we obtain a local gradient estimate in the Orlicz space for weak solution.

Original language	English
Pages (from-to)	132-146
Number of pages	15
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	93
DOIs	https://doi.org/10.1016/j.na.2013.07.024
State	Published - 2013

Keywords

Gradient estimate
Orlicz space
Sobolev space
Variable exponent

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10.1016/j.na.2013.07.024

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title = "Higher integrability for nonlinear elliptic equations with variable growth",

abstract = "In this paper, based on the theory of variable exponent spaces, we study the regularity for a class of nonlinear elliptic equation with p(x)-Laplacian. Under suitable assumptions, we obtain a local gradient estimate in the Orlicz space for weak solution.",

keywords = "Gradient estimate, Orlicz space, Sobolev space, Variable exponent",

author = "Xia Zhang and Yongqiang Fu",

year = "2013",

doi = "10.1016/j.na.2013.07.024",

language = "英语",

volume = "93",

pages = "132--146",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

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TY - JOUR

T1 - Higher integrability for nonlinear elliptic equations with variable growth

AU - Zhang, Xia

AU - Fu, Yongqiang

PY - 2013

Y1 - 2013

N2 - In this paper, based on the theory of variable exponent spaces, we study the regularity for a class of nonlinear elliptic equation with p(x)-Laplacian. Under suitable assumptions, we obtain a local gradient estimate in the Orlicz space for weak solution.

AB - In this paper, based on the theory of variable exponent spaces, we study the regularity for a class of nonlinear elliptic equation with p(x)-Laplacian. Under suitable assumptions, we obtain a local gradient estimate in the Orlicz space for weak solution.

KW - Gradient estimate

KW - Orlicz space

KW - Sobolev space

KW - Variable exponent

UR - https://www.scopus.com/pages/publications/84883154526

U2 - 10.1016/j.na.2013.07.024

DO - 10.1016/j.na.2013.07.024

M3 - 文章

AN - SCOPUS:84883154526

SN - 0362-546X

VL - 93

SP - 132

EP - 146

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Higher integrability for nonlinear elliptic equations with variable growth

Abstract

Keywords

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