Existence of solutions for a class of nonlinear Choquard equations with critical growth

Abstract

In this paper, we consider a class of nonlinear Choquard equations with critical growth, and we show the existence of solutions of the equations. Besides, we consider the corresponding minimizing problem and prove the existence of a minimizer.

14 pages

References in corpus (1)

• Groundstates for nonlinear fractional Choquard equations with general nonlinearities

Cited by in corpus (1)

• On nodal solutions of a nonlocal Choquard equation in a bounded domain