Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight

Abstract

In this article we consider the problem− div (p (x)∇ u)=| u| 2∗− 2u+ λf in Ω u= 0 on∂ Ω where Ω is a bounded domain in RN, We study the relationship between the behavior of p near its minima on the existence of solutions.