THE EXISTENCE AND CONCENTRATION OF GROUND STATE SOLUTIONS FOR CHERN-SIMONS-SCHRÖDINGER SYSTEMS WITH A STEEP WELL POTENTIAL

doi:10.1007/s10473-022-0318-2

Abstract

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 → +∞.

Key words: Chern-Simons-Schrödinger system, steep well potential, ground state solution, concentration

CLC Number:

35A01

Jinlan TAN, Yongyong LI, Chunlei TANG. THE EXISTENCE AND CONCENTRATION OF GROUND STATE SOLUTIONS FOR CHERN-SIMONS-SCHRÖDINGER SYSTEMS WITH A STEEP WELL POTENTIAL[J].Acta mathematica scientia,Series B, 2022, 42(3): 1125-1140.

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