Existence and asymptotic behavior of sign-changing solutions for the Schr\"{o}dinger-Bopp-Podolsky system with concave-convex nonlinearities

Yi-Xin Hu; Xing-Ping Wu; Chun-Lei Tang

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Existence and asymptotic behavior of sign-changing solutions for the Schr\"{o}dinger-Bopp-Podolsky system with concave-convex nonlinearities

Yi-Xin Hu 1, Xing-Ping Wu 1 *, Chun-Lei Tang 2

1. School of Mathematics and Statistics, Southwest University, Chongqing 400715

2. School of Mathematics and Statistics, Southwest University, Chongqing 400715

*Correspondence author

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Funding: National Natural Science Foundation of China （No.No.11971393）

Opened online: 2 April 2022

Accepted by: none

Citation: Yi-Xin Hu, Xing-Ping Wu, Chun-Lei Tang.Existence and asymptotic behavior of sign-changing solutions for the Schr\"{o}dinger-Bopp-Podolsky system with concave-convex nonlinearities[OL]. [ 2 April 2022] http://en.paper.edu.cn/en_releasepaper/content/4757256

In this paper, we study the Schr\"{o}dinger-Bopp-Podolsky system with con-cave-convex nonlinearities. If $0< \lambda < \lambda^{*}$, the system has a sign-changing solution by variational methods. Besides, we argument the asymptotic behavior of the solution as $a\rightarrow 0$.

Keywords:Schr\"{o}dinger-Bopp-Podolsky system, Sign-changing solution, Critical growth, Nonlocal term, Variational method.

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