Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials

Shuai Jiang; Shibo Liu

paper

Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials

arXiv:2211.17002

Abstract

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

12 pages