Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615880 | Journal of Mathematical Analysis and Applications | 2014 | 12 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wen-nian Huang, X.H. Tang,