Abstract
In this paper, we study the following non-autonomous Choquard-Pekar equation:{−Δu+V(x)u=(W⁎F(u))f(u),x∈RN(N≥2),u∈H1(RN), where the potential V(x) is 1-periodic and 0 lies in a gap of the spectrum of the Schrödinger operator −Δ+V. Under some general assumptions on the potential W and the nonlinearity f, we show the existence of ground state solutions. We also construct infinitely many geometrically distinct solutions by using the variational method and deformation arguments.
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