3 papers
math.AP2014
Nontrivial solutions for periodic Schrödinger equations with sign-changing nonlinearities
Shaowei Chen, Conglei Wang, Liqin Xiao
Using a new infinite-dimensional linking theorem, we obtained nontrivial solutions for strongly indefinite periodic Schrödinger equations with sign-changing nonlinearities.
math.AP2014
Existence of a nontrivial solution for a strongly indefinite periodic Schrodinger-Poisson system
Shaowei Chen, Liqian Xiao
We consider the Schrödinger-Poisson system \begin{eqnarray}\left\{\begin{array} [c]{ll} -Δu+V(x) u+|u|^{p-2}u=λϕu, & \mbox{in}\mathbb{R}^{3},\\ -Δϕ= u^{2}, & \mbox{in}\mathbb{R}^{3…
math.AP2012
Solution manifolds for some semilinear Schrodinger equations
Shaowei Chen
In this paper, we study the following semilinear Schrödinger system where and $ε>0…