Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory

Abstract

We are interested in standing waves of a modified Schrödinger equation coupled with the Chern-Simons gauge theory. By applying a constraint minimization of Nehari-Pohozaev type, we prove the existence of radial ground state solutions. We also investigate the non-existence for nontrivial solutions.

17 pages