论文标题
具有不确定电势的6种典型Chern-simons-Schrödinger系统的站立波
Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials
论文作者
论文摘要
在本文中,我们考虑了6种典型的Chern-Simons-Schrödinger系统。与大多数研究相反,我们考虑了潜在的$ v $不确定的情况,因此Schrödinger$-Δ+V $具有有限维的负空间。我们通过莫尔斯理论获得了问题的非平凡解决方案。
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.