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arXiv · 2211.17002

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

Shuai Jiang·Shibo Liu
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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.

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Shuai Jiang, Shibo Liu. 2022-11-30. Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials. https://arxiv.org/abs/2211.17002

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