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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 $…
math.AP2013
Existence of positive solutions for a critical nonlinear Schrodinger equation with vanishing or coercive potentials
Shaowei Chen
In this paper we investigate the existence of the positive solutions for the following nonlinear Schrödinger equation wh…