Abstract
We are concerned with discussing the ground state solutions of the Choquard equation with the Hardy potentials and critical Sobolev exponent: where , , , is the Riesz potential, is the critical Sobolev exponent, and satisfies neither the usual Ambrosetti–Rabinowitz type condition nor any monotonicity condition. Using some new variational and analytic techniques, we obtain a ground state solution of Pohoaev type for the given problem.
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