数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 483-500.doi: 10.1016/S0252-9602(14)60022-9

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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   

  1. Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran; Department of Natural Sciencesin the Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, China
  • 收稿日期:2012-10-31 出版日期:2014-03-20 发布日期:2014-03-20

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   

  1. Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran; Department of Natural Sciencesin the Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, China
  • Received:2012-10-31 Online:2014-03-20 Published:2014-03-20

摘要:

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.

关键词: Nontrivial non-negative solutions, Nehari manifold, critical Hardy-Sobolev ex-ponent

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.

Key words: Nontrivial non-negative solutions, Nehari manifold, critical Hardy-Sobolev ex-ponent

中图分类号: 

  • 35A15