Radial ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev lower critical growth.

In this paper, we investigate the following autonomous Choquard equation − Δ u + u = (I α ∗ F (u)) F ′ (u) in R N , where N ≥ 3 , I α denotes the Riesz potential of order α ∈ (0 , N) and F satisfies general critical growth conditions. By using the variational methods and the Pohožaev manifold techniques, we prove the existence of radially symmetric positive ground state solution. [ABSTRACT FROM AUTHOR]