Existence of least energy nodal solution for a Schrödinger–Poisson system in bounded domains

We prove the existence of least energy nodal solution for a class of Schrodinger-Poisson system in a bounded domain \({\Omega \subset {\mathbb{R}} reversible reaction }\) with nonlinearity having a subcritical growth.

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Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 65; no. 6; pp. 1153 - 1166
Main Authors Alves, Claudianor O., Souto, Marco A. S.
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.12.2014
Subjects
Energy of solution
Engineering
Mathematical analysis
Mathematical Methods in Physics
Nonlinearity
Theoretical and Applied Mechanics
35J65
35J20
Schrödinger–Poisson systems Nodal solution
Variational methods
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Summary:We prove the existence of least energy nodal solution for a class of Schrodinger-Poisson system in a bounded domain \({\Omega \subset {\mathbb{R}} reversible reaction }\) with nonlinearity having a subcritical growth.
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ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-013-0376-3