Removability of compact singular sets for nonlinear elliptic equations with p(x)-growth

Yingying Shan; Yongqiang Fu

doi:10.1080/17476933.2015.1068763

Removability of compact singular sets for nonlinear elliptic equations with p(x)-growth

Yingying Shan^*
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

1 Scopus citations

Abstract

Using Moser’s iteration method, we obtain the removability of compact singular sets with capacity zero under some conditions for nonlinear elliptic equations in the framework of variable exponent Sobolev spaces.

Original language	English
Pages (from-to)	151-165
Number of pages	15
Journal	Complex Variables and Elliptic Equations
Volume	61
Issue number	2
DOIs	https://doi.org/10.1080/17476933.2015.1068763
State	Published - 1 Feb 2016

Keywords

Removable singularity
Singular sets
Variable exponent spaces

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10.1080/17476933.2015.1068763

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title = "Removability of compact singular sets for nonlinear elliptic equations with p(x)-growth",

abstract = "Using Moser{\textquoteright}s iteration method, we obtain the removability of compact singular sets with capacity zero under some conditions for nonlinear elliptic equations in the framework of variable exponent Sobolev spaces.",

keywords = "Removable singularity, Singular sets, Variable exponent spaces",

author = "Yingying Shan and Yongqiang Fu",

note = "Publisher Copyright: {\textcopyright} 2015 Taylor \& Francis.",

year = "2016",

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doi = "10.1080/17476933.2015.1068763",

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AU - Fu, Yongqiang

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N2 - Using Moser’s iteration method, we obtain the removability of compact singular sets with capacity zero under some conditions for nonlinear elliptic equations in the framework of variable exponent Sobolev spaces.

AB - Using Moser’s iteration method, we obtain the removability of compact singular sets with capacity zero under some conditions for nonlinear elliptic equations in the framework of variable exponent Sobolev spaces.

KW - Removable singularity

KW - Singular sets

KW - Variable exponent spaces

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DO - 10.1080/17476933.2015.1068763

M3 - 文章

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JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

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Removability of compact singular sets for nonlinear elliptic equations with p(x)-growth

Abstract

Keywords

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