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Existence and Concentration of Ground State Solutions for Chern–Simons–Schrödinger System with General Nonlinearity

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Abstract

In this paper, we investigate a class of nonlinear Chern–Simons–Schrödinger system with steep well potential. Under some suitable conditions on the nonlinearity, using the variational methods and the mountain pass theorem, we prove the existence of ground state solutions for \(\lambda >0\) large enough. Furthermore, we verify the asymptotic behavior of ground state solutions as \(\lambda \rightarrow +\infty \).

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Authors and Affiliations

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

    Jin-Lan Tan, Jin-Cai Kang & Chun-Lei Tang

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  1. Jin-Lan Tan
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  2. Jin-Cai Kang
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Tan, JL., Kang, JC. & Tang, CL. Existence and Concentration of Ground State Solutions for Chern–Simons–Schrödinger System with General Nonlinearity. Mediterr. J. Math. 20, 96 (2023). https://doi.org/10.1007/s00009-023-02330-4

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  • DOI: https://doi.org/10.1007/s00009-023-02330-4

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