Standing waves for 6-superlinear Chern-Simons-Schr\"odinger systems with indefinite potentials
Abstract
In this paper we consider 6-superlinear Chern-Simons-Schr\"odinger systems. In contrast to most studies, we consider the case where the potential V is indefinite so that the Schr\"odinger operator - +V possesses a finite-dimensional negative space. We obtain nontrivial solutions for the problem via Morse theory.
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