International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 20, Pages 3213-3223
doi:10.1155/IJMMS.2005.3213

Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents

Juan Li

Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China

Abstract

Via the variational methods, we prove the existence of a nontrivial solution to a singular semilinear elliptic equation with critical Sobolev-Hardy exponent under certain conditions.