Article ID Journal Published Year Pages File Type
4958569 Computers & Mathematics with Applications 2017 15 Pages PDF
Abstract
In this paper, we prove the existence of positive solutions and negative solutions for the following modified Schrödinger-Kirchhoff-Poisson type systems {−(a+b∫R3∣∇u∣2)Δu+V(x)u+ϕu−12uΔ(u2)=f(x,u),inR3,−Δϕ=u2,inR3, where a>0, b≥0, V and f are continuous functions and V(x) is allowed to be sign-changing. Under some certain assumptions on V and f, we prove the existence of nontrivial nonnegative solutions, nontrivial nonpositive solutions and sequence of high energy solutions via the perturbation method.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
Authors
, , ,