Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612598 | Journal of Differential Equations | 2010 | 23 Pages |
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
Authors
Giovanna Cerami, Giusi Vaira,