Removability of singularity for nonlinear elliptic equations with p(x)-growth

Using Moser's iteration method, we investigate the problem of removable isolated singularities for elliptic equations with p(x)-type nonstandard growth. We give a sufficient condition for removability of singularity for the equations in the framework of variable exponent Sobolev spaces.

Bibliographic Details
Main Authors:	Yongqiang Fu, Yingying Shan
Format:	Article
Language:	English
Published:	University of Szeged 2013-09-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	variable exponent space; isolated singularity; removable singularity
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2647

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spelling	doaj-041ecc74d7b9485385ede9c67a24fd972021-07-14T07:21:25ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752013-09-0120135811710.14232/ejqtde.2013.1.582647Removability of singularity for nonlinear elliptic equations with p(x)-growthYongqiang Fu0Yingying Shan1Harbin Institute of Technology, Harbin, P. R. ChinaDepartment of Mathematics,Harbin Institute of Technology.No.92, West Da-Zhi Street,Harbin, Heilongjiang,150001, P. R. China.Using Moser's iteration method, we investigate the problem of removable isolated singularities for elliptic equations with p(x)-type nonstandard growth. We give a sufficient condition for removability of singularity for the equations in the framework of variable exponent Sobolev spaces.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2647variable exponent space; isolated singularity; removable singularity
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yongqiang Fu Yingying Shan
spellingShingle	Yongqiang Fu Yingying Shan Removability of singularity for nonlinear elliptic equations with p(x)-growth Electronic Journal of Qualitative Theory of Differential Equations variable exponent space; isolated singularity; removable singularity
author_facet	Yongqiang Fu Yingying Shan
author_sort	Yongqiang Fu
title	Removability of singularity for nonlinear elliptic equations with p(x)-growth
title_short	Removability of singularity for nonlinear elliptic equations with p(x)-growth
title_full	Removability of singularity for nonlinear elliptic equations with p(x)-growth
title_fullStr	Removability of singularity for nonlinear elliptic equations with p(x)-growth
title_full_unstemmed	Removability of singularity for nonlinear elliptic equations with p(x)-growth
title_sort	removability of singularity for nonlinear elliptic equations with p(x)-growth
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2013-09-01
description	Using Moser's iteration method, we investigate the problem of removable isolated singularities for elliptic equations with p(x)-type nonstandard growth. We give a sufficient condition for removability of singularity for the equations in the framework of variable exponent Sobolev spaces.
topic	variable exponent space; isolated singularity; removable singularity
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2647
work_keys_str_mv	AT yongqiangfu removabilityofsingularityfornonlinearellipticequationswithpxgrowth AT yingyingshan removabilityofsingularityfornonlinearellipticequationswithpxgrowth
_version_	1721303661292814336

Removability of singularity for nonlinear elliptic equations with p(x)-growth

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