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Existence and concentration of ground state solutions for Chern-Simons-Schr\"{o}dinger systems with steep well potential
Jin-Lan Tan,Yong-Yong Li *,Chun-Lei Tang *
School of Mathematics and Statistics, Southwest University, Chongqing 400715
*Correspondence author
#Submitted by
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Funding: National Natural Science Foundation of China （No.No. 11971393）
Opened online:23 February 2021
Accepted by: none
Citation: Jin-Lan Tan,Yong-Yong Li,Chun-Lei Tang.Existence and concentration of ground state solutions for Chern-Simons-Schr\"{o}dinger systems with steep well potential[OL]. [23 February 2021] http://en.paper.edu.cn/en_releasepaper/content/4753525
 
 
In this paper, we investigate a class of nonlinear Chern-Simons-Schr\"{o}dinger system with steep well potential.\ By using the variational methods,\ the mountain pass theorem and the Nehari manifold methods,\ we prove the existence of ground state solutions for $\lambda>0$ large enough.\ Furthermore,\ we verify the asymptotic behavior of ground state solutions as $\lambda\to+\infty$.
Keywords:Chern-Simons-Schr\"{o}dinger system; Steep well potential; Ground state solution; Concentration
 
 
 

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