Ground state solutions for nonlinear Choquard equations with inverse-square potentials

摘要

This paper is concerned with the following Choquard equationwhere N = 3, 0 = mu (N-2)(2)/4, 0 alpha N, V is 1-periodic in each of x(1), x(2),..., x(N) and F is the primitive function of f. Under some mild assumptions on V and f, we establish the existence and asymptotical behavior of ground state solutions by variational methods.