Ground state solutions for the Chern–Simons–Schrödinger equations with general nonlinearity

Abstract

ABSTRACTWe consider the nonlinear Chern–Simons–Schrödinger equations with general nonlinearity where and w>0. With the condition , we obtain the ground state solution of the Nehari–Pohozaev type. Based on the result, by the Jeanjeans monotonicity trick, we also get a least energy solution. For the case , the existence of ground state solution is proved by the diagonal method. We generalize the existence results.