Higher integrability for nonlinear elliptic equations with variable growth and discontinuous coefficients

Xia Zhang; Yan Huo; Yongqiang Fu

doi:10.1016/j.jmaa.2014.04.010

Higher integrability for nonlinear elliptic equations with variable growth and discontinuous coefficients

Xia Zhang^*
, Yan Huo
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Harbin Engineering University

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

1 Scopus citations

Abstract

In this paper, based on the theory of variable exponent spaces, we study the higher integrability for a class of nonlinear elliptic equations with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain a local gradient estimate in Orlicz space for weak solution.

Original language	English
Pages (from-to)	425-443
Number of pages	19
Journal	Journal of Mathematical Analysis and Applications
Volume	418
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2014.04.010
State	Published - 1 Oct 2014

Keywords

Gradient estimate
Orlicz space
Variable exponent Sobolev space

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10.1016/j.jmaa.2014.04.010

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

abstract = "In this paper, based on the theory of variable exponent spaces, we study the higher integrability for a class of nonlinear elliptic equations with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain a local gradient estimate in Orlicz space for weak solution.",

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

author = "Xia Zhang and Yan Huo and Yongqiang Fu",

year = "2014",

month = oct,

day = "1",

doi = "10.1016/j.jmaa.2014.04.010",

language = "英语",

volume = "418",

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TY - JOUR

T1 - Higher integrability for nonlinear elliptic equations with variable growth and discontinuous coefficients

AU - Zhang, Xia

AU - Huo, Yan

AU - Fu, Yongqiang

PY - 2014/10/1

Y1 - 2014/10/1

N2 - In this paper, based on the theory of variable exponent spaces, we study the higher integrability for a class of nonlinear elliptic equations with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain a local gradient estimate in Orlicz space for weak solution.

AB - In this paper, based on the theory of variable exponent spaces, we study the higher integrability for a class of nonlinear elliptic equations with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain a local gradient estimate in Orlicz space for weak solution.

KW - Gradient estimate

KW - Orlicz space

KW - Variable exponent Sobolev space

UR - https://www.scopus.com/pages/publications/84899919927

U2 - 10.1016/j.jmaa.2014.04.010

DO - 10.1016/j.jmaa.2014.04.010

M3 - 文章

AN - SCOPUS:84899919927

SN - 0022-247X

VL - 418

SP - 425

EP - 443

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Higher integrability for nonlinear elliptic equations with variable growth and discontinuous coefficients

Abstract

Keywords

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