Abstract
We find a sign-changing solution for a class of Schr\"odinger-Poisson systems 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.
Citation
Claudianor O. Alves. Marco A.S. Souto. Sérgio H.M. Soares. "A sign-changing solution for the Schrödinger-Poisson equation in $\mathbb R^3$." Rocky Mountain J. Math. 47 (1) 1 - 25, 2017. https://doi.org/10.1216/RMJ-2017-47-1-1
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