EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS INVOLVING m CRITICAL HARDY-SOBOLEV EXPONENTS AND m SIGN-CHANGING WEIGHT FUNCTION  

作　　者：Nemat NYAMORADI Tsing-San HSU 

机构地区：[1]Department of Mathematics,Faculty of Sciences,Razi University [2]Department of Natural Sciencesin the Center for General Education,Chang Gung University

出　　处：《Acta Mathematica Scientia》2014年第2期483-500,共18页数学物理学报（B辑英文版）

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.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 

分 类 号：O175.25[理学—数学]