Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent

Jean Van Schaftingen, Jiankang Xia

We prove the existence of ground state solutions by variational methods to the nonlinear Choquard equations with a nonlinear perturbation \[ -Δu+ u=\big(I_α*|u|^{\fracα{N}+1}\big)|…