A multiplicity result for Chern–Simons–Schrödinger equation with a general nonlinearity

Abstract

In this paper we give a multiplicity result for the following Chern–Simons–Schrödinger equation (Formula presented.),where (Formula presented.), under very general assumptions on the nonlinearity g. In particular, for every n∈N, we prove the existence of (at least) n distinct solutions, for every q∈(0,qn), for a suitable qn.