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

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Abstract

We prove the existence of least energy nodal solution for a class of Schrödinger–Poisson system in a bounded domain \({\Omega \subset {\mathbb{R}}^3}\) with nonlinearity having a subcritical growth.

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Authors and Affiliations

  1. Universidade Federal de Campina Grande and Unidade Acadêmica de Matemática e Estatística, Campina Grande, PB, CEP:58429-900, Brazil

    Claudianor O. Alves & Marco A. S. Souto

Authors
  1. Claudianor O. Alves
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  2. Marco A. S. Souto
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Corresponding author

Correspondence to Claudianor O. Alves.

Additional information

Partially supported by INCT-MAT, Casadinho/PROCAD 552464/2011-2.

C. O. Alves was partially supported by CNPq/Brazil 303080/2009-4.

M. A. S. Souto was supported by CNPq/Brazil 304652/2011-3.

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Alves, C.O., Souto, M.A.S. Existence of least energy nodal solution for a Schrödinger–Poisson system in bounded domains. Z. Angew. Math. Phys. 65, 1153–1166 (2014). https://doi.org/10.1007/s00033-013-0376-3

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  • DOI: https://doi.org/10.1007/s00033-013-0376-3

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