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arXiv · 1408.3021

A sign-changing solution for the Schrödinger-Poisson equation

Claudianor O. Alves·Marco A. S. Souto·Sérgio H. M. Soares
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Abstract

We find a sign-changing solution for a class of Schrödinger-Poisson system in $\mathbb{R}^3$ as an existence result by minimization in a closed subset containing all the sign-changing solutions of the equation. The proof is based on variational methods in association with the deformation lemma and Miranda's theorem.

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Claudianor O. Alves, Marco A. S. Souto, Sérgio H. M. Soares. 2014-08-13. A sign-changing solution for the Schrödinger-Poisson equation. https://arxiv.org/abs/1408.3021

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