Schrödinger equations with asymptotically periodic terms

Reinaldo de Marchi

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arXiv · 1307.5799

Schrödinger equations with asymptotically periodic terms

Reinaldo de Marchi

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Abstract

We study the existence of nontrivial solutions for a class of asymptotically periodic semilinear Schrödinger equations in $\mathbb{R}^N$. By combining variational methods and the concentration-compactness principle we obtain a nontrivial solution for asymptotically periodic problem and a ground state solution for the periodic problem. In the proofs we apply the Mountain Pass Theorem and its local version.

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Reinaldo de Marchi. 2013-07-22. Schrödinger equations with asymptotically periodic terms. https://arxiv.org/abs/1307.5799

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