Abstract and Applied Analysis 
Volume 2004 (2004), Issue 2, Pages 91-98
doi:10.1155/S1085337504311036

An elliptic problem with critical exponent and positive Hardy potential

Shaowei Chen and Shujie Li

 Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
Received 9 September 2003

Abstract

We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1.