Existence of multiple positive solutions for semilinear elliptic systems involving m critical hardy-sobolev exponents and m sign-changing weight function

Nemat Nyamoradi; Tsing San Hsu

doi:10.1016/S0252-9602(14)60022-9

Existence of multiple positive solutions for semilinear elliptic systems involving m critical hardy-sobolev exponents and m sign-changing weight function

Nemat Nyamoradi, Tsing San Hsu

Center for General Education

Razi University

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

7 Scopus citations

Abstract

In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.

Original language	English
Pages (from-to)	483-500
Number of pages	18
Journal	Acta Mathematica Scientia
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/S0252-9602(14)60022-9
State	Published - 03 2014

Keywords

Critical Hardy-Sobolev exponent
Nehari manifold
Nontrivial non-negative solutions

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10.1016/S0252-9602(14)60022-9

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title = "Existence of multiple positive solutions for semilinear elliptic systems involving m critical hardy-sobolev exponents and m sign-changing weight function",

abstract = "In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.",

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AU - Hsu, Tsing San

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N2 - In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.

AB - In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign-changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.

KW - Critical Hardy-Sobolev exponent

KW - Nehari manifold

KW - Nontrivial non-negative solutions

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DO - 10.1016/S0252-9602(14)60022-9

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VL - 34

SP - 483

EP - 500

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 2

ER -

Existence of multiple positive solutions for semilinear elliptic systems involving m critical hardy-sobolev exponents and m sign-changing weight function

Abstract

Keywords

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