Standing waves for 6-superlinear Chern-Simons-Schr\"{o}dinger systems with indefinite potentials

Shuai Jiang; Shibo Liu

Standing waves for 6-superlinear Chern-Simons-Schr\"{o}dinger systems with indefinite potentials

Analysis of PDEs 2022-12-01 v1

Authors: Shuai Jiang , Shibo Liu

Abstract

In this paper we consider 6-superlinear Chern-Simons-Schr\"{o}dinger systems. In contrast to most studies, we consider the case where the potential $V$ is indefinite so that the Schr\"{o}dinger operator $-\Delta +V$ possesses a finite-dimensional negative space. We obtain nontrivial solutions for the problem via Morse theory.

Keywords

schrödinger operators nonlinear schrödinger equations nonlinear schrödinger equation

Cite

@article{arxiv.2211.17002,
  title  = {Standing waves for 6-superlinear Chern-Simons-Schr\"{o}dinger systems with indefinite potentials},
  author = {Shuai Jiang and Shibo Liu},
  journal= {arXiv preprint arXiv:2211.17002},
  year   = {2022}
}

Comments

12 pages

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