MULTI-PEAK SOLUTIONS FOR NONLINEAR CHOQUARD EQUATION WITH A GENERAL NONLINEARITY

In this paper, we study a class of nonlinear Choquard type equations involving a general nonlinearity. By using the method of penalization argument, we show that there exists a family of solutions having multiple concentration regions which concentrate at the minimum points of the potential V. Moreover, the monotonicity of f(s)/s and the so-called Ambrosetti-Rabinowitz condition are not required.