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arXiv · 1309.5576

Existence and concentration of positive bound states for the Schrödinger-Poisson system with potentials

Patricia Leal da Cunha
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Abstract

In this article we study the existence and concentration behavior of bound states for a nonlinear Schrödinger-Poisson system with a parameter $\varepsilon>0$. Under some suitable conditions on the potential functions, we prove that for $\varepsilon$ small the system has a positive solution that concentrates at a point which is a global minimum of the minimax function associated to the related autonomous problem.

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Patricia Leal da Cunha. 2013-09-22. Existence and concentration of positive bound states for the Schrödinger-Poisson system with potentials. https://arxiv.org/abs/1309.5576

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