Existence of Solutions for Planar Kirchhoff-Choquard Problems

In this article, we are interested in the study of the following Kirchhoff-Choquard equations: -(a+b .TR2 |?u|(2)dx)?u+ V(x)u = A(ln |x| *u(2))u+f(u), x ? R-2, where A > 0, a > 0, b > 0, Vand f are continuous functions with some appropriate assumptions. We prove that when the parameter A is sufficiently small, the above problem has a mountain pass solution, a least energy solution and a ground state solution by applying the variational methods and building some subtle inequalities.