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In this paper, the existence of a nontrivial least energy solution is considered for the nonlinear fractional Schrodinger-Poisson systems (−Δ)su + V(x)u + ϕu = |u|p−1u and (−Δ)tϕ = u2… Click to show full abstract
In this paper, the existence of a nontrivial least energy solution is considered for the nonlinear fractional Schrodinger-Poisson systems (−Δ)su + V(x)u + ϕu = |u|p−1u and (−Δ)tϕ = u2 in R3, where (−Δ)α is the fractional Laplacian for α = s, t ∈ (0, 1) with s 3. Under some appropriate assumptions on the non-constant potential V(x), we prove the existence of a nontrivial least energy solution when 2 3. Under some appropriate assumptions on the non-constant potential V(x), we prove the existence of a nontrivial least energy solution when 2
Journal Title: Journal of Mathematical Physics
Year Published: 2018
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