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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
Authors:Nemat NYAMORADI  Tsing-San HSU
Institution:[1]Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran [2]Department of Natural Sciencesin the Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, China
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 signchanging function. The existence and multiplicity results of positive solutions are obtained by variational methods.
Keywords:Nontrivial non-negative solutions  Nehari manifold  critical Hardy-Sobolev ex-ponent
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