A sign-changing solution for the Schr\"odinger-Poisson equation
Analysis of PDEs
2014-08-14 v1
Abstract
We find a sign-changing solution for a class of Schr\"odinger-Poisson system in 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.
Cite
@article{arxiv.1408.3021,
title = {A sign-changing solution for the Schr\"odinger-Poisson equation},
author = {Claudianor O. Alves and Marco A. S. Souto and Sérgio H. M. Soares},
journal= {arXiv preprint arXiv:1408.3021},
year = {2014}
}