Existence of ground state solutions for a Choquard double phase problem

In this paper we study quasilinear elliptic equations driven by the double phase operator involving a Choquard term of the form [Formula presented] where Lp,qa is the double phase operator given by Lp,qa(u)?div(|?u|p?2?u+a(x)|?u|q?2?u),u?W1,H(RN),0<?<N, 1<p<N, [Formula presented], 0?a(?)?C0,?(RN) with ??(0,1] and f:RN�R?R is a continuous function that satisfies a subcritical growth. Based on the Hardy�Littlewood�Sobolev inequality, the Nehari manifold and variational tools, we prove the existence of ground state solutions of such problems under different assumptions on the data. � 2023 Elsevier Ltd