Dawei Zhang

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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 $V$ is periodic and $f$ 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 $V$ is periodic and $f$ is periodic in the $…