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The Existence and Concentration of Ground State Solutions for Chern-Simons-schrödinger Systems with a Steep Well Potential

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Abstract

In this paper, we investigate a class of nonlinear Chern-Simons-Schrödinger systems with a steep well potential. By using variational methods, the mountain pass theorem and Nehari manifold methods, we prove the existence of a ground state solution for λ > 0 large enough. Furthermore, we verify the asymptotic behavior of ground state solutions as λ → +∞.

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Authors and Affiliations

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

    Jinlan Tan  (谭金氚), Yongyong Li  (李勇勇) & Chunlei Tang  (唐春雷)

Authors
  1. Jinlan Tan  (谭金氚)
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  2. Yongyong Li  (李勇勇)
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  3. Chunlei Tang  (唐春雷)
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Corresponding author

Correspondence to Chunlei Tang  (唐春雷).

Additional information

The third author was supported by National Natural Science Foundation of China (11971393).

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Tan, J., Li, Y. & Tang, C. The Existence and Concentration of Ground State Solutions for Chern-Simons-schrödinger Systems with a Steep Well Potential. Acta Math Sci 42, 1125–1140 (2022). https://doi.org/10.1007/s10473-022-0318-2

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  • DOI: https://doi.org/10.1007/s10473-022-0318-2

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