Abstract
We consider the following gradient system of Choquard type −Δu1+u1=(Iμ∗F(u2))f(u1)inRN,−Δu2+u2=(Iμ∗F(u1))f(u2)inRN,where N≥3 and Iμ(0<μ<N) is a Riesz potential. By the variational methods, we prove the existence of ground state solutions under the Berestycki–Lions type conditions.
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