Standing waves of modified Schrödinger equations coupled with the Chern–Simons gauge theory
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 nonexistence for nontrivial solutions.