Ground state solutions of a magnetic nonlinear Choquard equation with lower critical exponent.

In this article, we establish the existence of ground state solutions for a magnetic nonlinear Choquard equation with lower critical exponent by variational methods. • We are concerned with the existence of ground state solutions with the nonlinearity has a lower critical exponent in the sense of Hardy–Littlewood–Sobolev inequality. • The problem has a magnetic field and a nonlocal term Choquard nonlinearity. [ABSTRACT FROM AUTHOR]