2 papers
math.AP2014
Existence of nontrivial solutions for periodic Schrodinger equations with new nonlinearities
Shaowei Chen, Dawei Zhang
We study the Schrödinger equation: \begin{eqnarray} - Δu+V(x)u+f(x,u)=0,\qquad u\in H^{1}(\mathbb{R}^{N}),\nonumber \end{eqnarray} where is periodic and is periodic in the…
math.AP2013
Existence of nontrivial solutions for asymptotically linear periodic Schrödinger equations
Shaowei Chen, Dawei Zhang
We study the Schrödinger equation: \begin{equation} - Δu+V(x)u=f(x,u) ,\qquad u\in H^{1}(\mathbb{R}^{N}),\nonumber \end{equation} where is periodic and is periodic in the $…