Article ID Journal Published Year Pages File Type
4628817 Applied Mathematics and Computation 2013 8 Pages PDF
Abstract

Let p,q∈]0,1[p,q∈0,1. In the present paper, we study the existence of infinitely many nontrivial solutions for a class of Brézis–Nirenberg equation-Δu+V(x)u=a(x)up-1u+b(x)uq-1u,inRN,where N⩾3N⩾3, a(x)a(x) and b(x)b(x) have a contrary sign and satisfy suitable conditions. The proof is based on the variant Fountain theorem established by Zou.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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