Article ID Journal Published Year Pages File Type
4612598 Journal of Differential Equations 2010 23 Pages PDF
Abstract

In this paper we study the Schrödinger–Poisson systemequation(SP){−Δu+u+K(x)ϕ(x)u=a(x)|u|p−1u,x∈R3,−Δϕ=K(x)u2,x∈R3, with p∈(3,5)p∈(3,5). Assuming that a:R3→R and K:R3→R are nonnegative functions such thatlim|x|→∞a(x)=a∞>0,lim|x|→∞K(x)=0 and satisfying suitable assumptions, but not requiring any symmetry property on them, we prove the existence of positive solutions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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