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• W2906117403 abstract "In the present paper, we consider the following nonlinear Schrödinger–Poisson system with convolution nonlinearity:{−△u+V(x)u+ϕu=(Iα⁎F(u))f(u),x∈R3,−△ϕ=u2,x∈R3, where α∈(0,3), Iα:R3→R is the Riesz potential, V∈C(R3,[0,∞)), f∈C(R,R) and F(t)=∫0tf(s)ds satisfies lim|t|→∞⁡F(t)/|t|σ=∞ with σ=min⁡{2,(6+α)/4}. By using some new analytic techniques and new inequalities, we prove the above system admits a ground state solution under mild assumptions on V and f. In particular, our results cover and improve the existing ones for the Schrödinger–Poisson system which can be considered as the limited problem when α→0." @default.
• W2906117403 created "2019-01-01" @default.
• W2906117403 creator A5069174584 @default.
• W2906117403 creator A5074726396 @default.
• W2906117403 date "2019-05-01" @default.
• W2906117403 modified "2023-10-03" @default.
• W2906117403 title "Ground state solutions of Schrödinger–Poisson systems with variable potential and convolution nonlinearity" @default.
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• W2906117403 doi "https://doi.org/10.1016/j.jmaa.2018.12.037" @default.
• W2906117403 hasPublicationYear "2019" @default.
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