Article ID Journal Published Year Pages File Type
4615880 Journal of Mathematical Analysis and Applications 2014 12 Pages PDF
Abstract

In this paper, by using variational methods and critical point theory, we study the existence of semiclassical solutions for the following nonlinear Schrödinger–Maxwell equations{−ε2Δu+V(x)u+ϕu=f(x,u),in R3,−Δϕ=4πu2,in R3, where ε>0ε>0 and V(x)⩾0V(x)⩾0 for all x∈R3x∈R3. Under some weaker assumptions on V and f  , we prove that the system has at least one nontrivial solution for sufficient small ε>0ε>0.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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