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Research Article | Open Access

Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations

Xian Zhang1, Chen Huang2( )
Business School, University of Shanghai for Science and Technology, Shanghai 200093, PR China
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, PR China
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Abstract

This paper focuses on a class of supercritical, quasi-linear Schrödinger equations. Based on the methods of invariant sets, some results about the existence and multiplicity of sign-changing solutions for supercritical equations are obtained.

Keywords

Quasi-linear Schrödinger equationssupercritical growthvariational methodssign-changing solutionsinvariant sets

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Electronic Research Archive
Volume 31 Issue 2,
February 2023
Pages 656-674
DOI: 10.3934/era.2023032

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Cite this article:
Zhang X, Huang C. Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations. Electronic Research Archive, 2023, 31(2): 656-674. https://doi.org/10.3934/era.2023032

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Received: 25 September 2022
Revised: 29 October 2022
Accepted: 03 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)