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Research Article | Open Access

Existence and asymptotic behaviour of positive ground state solution for critical Schrödinger-Bopp-Podolsky system

Senli Liu, Haibo Chen( )
School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China
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Abstract

In this paper, we consider a class of critical Schrödinger-Bopp-Podolsky system. By virtue of the Nehari manifold and variational methods, we study the existence, nonexistence and asymptotic behavior of ground state solutions for this problem.

Keywords

Schrödinger-Bopp-Podolsky systemvariational methodsground state solutionasymptotic behaviorcritical exponent

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Electronic Research Archive
Volume 30 Issue 6,
June 2022
Pages 2138-2164
DOI: 10.3934/era.2022108

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Liu S, Chen H. Existence and asymptotic behaviour of positive ground state solution for critical Schrödinger-Bopp-Podolsky system. Electronic Research Archive, 2022, 30(6): 2138-2164. https://doi.org/10.3934/era.2022108

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Received: 12 September 2021
Revised: 25 January 2022
Accepted: 30 January 2022
Published: 15 June 2022
©2022 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)