Ground state solutions for a Choquard equation with lower critical exponent and local nonlinear perturbation
Abstract This paper deals with the following Choquard equation with a local nonlinear perturbation: D u u I a u a N 1 u a N 1 u f u x R N u H 1 R N where I a R N R is the Riesz potential, N 3 a 0 N the exponent a N 1 is critical with respect to the Hardy Littlewood Sobolev inequality, and the nonlinear perturbation f is only required to satisfy some weak assumptions near 0 and Our results improve the previous related ones in the literature.