Article ID Journal Published Year Pages File Type
4623387 Journal of Mathematical Analysis and Applications 2007 14 Pages PDF
Abstract

This paper is concerned with the existence of the nontrivial solutions of the following problem:{−Δu=μu|x|2+K(x)u2∗(s)−1|x|s,x∈Rn,u∈DG1,2(Rn), where n>2n>2, K(x)K(x) is a bounded, continuous function satisfying some conditions. DG1,2(Rn) is an appropriate Sobolev space of G  -symmetric functions. 2∗(s)=2(n−s)(n−2) is the critical Sobolev–Hardy exponent, and 0⩽s<20⩽s<2, 0<μ<μ¯=(n−22)2.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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