Existence and multiplicity of nontrivial solutions for a class of Kirchhoff-Schrödinger-Poisson systems

Guofeng Che; Haibo Chen

doi:10.36045/j.bbms.211028

Abstract

We consider a class of Kirchhoff-Schrödinger-Poisson systems. By using the Mountain Pass Theorem and the Symmetric Mountain Pass Theorem of Rabinowitz, we prove the existence and multiplicity of nontrivial solutions. Our conditions weaken the Ambrosetti Rabinowitz type condition.

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Guofeng Che. Haibo Chen. "Existence and multiplicity of nontrivial solutions for a class of Kirchhoff-Schrödinger-Poisson systems." Bull. Belg. Math. Soc. Simon Stevin 29 (4) 453 - 470, december 2022. https://doi.org/10.36045/j.bbms.211028

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Published: december 2022

First available in Project Euclid: 24 March 2023

Digital Object Identifier: 10.36045/j.bbms.211028

Subjects:

Primary: 35B38 , 35J50

Keywords: Kirchhoff-Schrödinger-Poisson system , nontrivial solutions , Sobolev embedding , variational methods

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