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

Senli Liu; Haibo Chen; Senli Liu; Haibo Chen

doi:10.3934/era.2022108

Electronic Research Archive

2022, Volume 30, Issue 6: 2138-2164. doi: 10.3934/era.2022108

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Research article

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

Received: 12 September 2021 Revised: 25 January 2022 Accepted: 30 January 2022 Published: 14 April 2022

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.
- Schrödinger-Bopp-Podolsky system,
- variational methods,
- ground state solution,
- asymptotic behavior,
- critical exponent
Citation: Senli Liu, Haibo Chen. Existence and asymptotic behaviour of positive ground state solution for critical Schrödinger-Bopp-Podolsky system[J]. Electronic Research Archive, 2022, 30(6): 2138-2164. doi: 10.3934/era.2022108

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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.

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