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