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

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Abstract

In this paper, we study the nonlinear Chern–Simons–Schrödinger system with an external potential. Under some suitable conditions on the potential and nonlinearity, we prove the existence, multiplicity and concentration of solutions by using variational methods.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, People’s Republic of China

    Xianhua Tang & Wen Zhang

  2. School of Mathematics and Statistics, Hunan University of Commerce, Changsha, 410205, Hunan, People’s Republic of China

    Jian Zhang

Authors
  1. Xianhua Tang
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  2. Jian Zhang
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  3. Wen Zhang
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Correspondence to Jian Zhang.

Additional information

This work is partially supported by the NNSF (Nos. 11571370, 11471137, 11471278, 61472136).

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Tang, X., Zhang, J. & Zhang, W. Existence and Concentration of Solutions for the Chern–Simons–Schrödinger System with General Nonlinearity. Results Math 71, 643–655 (2017). https://doi.org/10.1007/s00025-016-0553-8

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  • DOI: https://doi.org/10.1007/s00025-016-0553-8

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