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arXiv:2211.17002 [math.AP]AbstractReferencesReviewsResources

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

Shuai Jiang, Shibo Liu

Published 2022-11-30Version 1

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.

Comments: 12 pages
Categories: math.AP
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