In this paper,we consider the following Schrodinger-Poisson system{-Δu+ηΦu=f(x,μ)+μ^(5),x∈Ω,-ΔФ=μ^(2),x∈Ω,μ=Φ=0,x∈■Ω,whereΩis a smooth bounded domain in R^(3),η=±1 and the continuous function f...In this paper,we consider the following Schrodinger-Poisson system{-Δu+ηΦu=f(x,μ)+μ^(5),x∈Ω,-ΔФ=μ^(2),x∈Ω,μ=Φ=0,x∈■Ω,whereΩis a smooth bounded domain in R^(3),η=±1 and the continuous function f satisfies some suitable conditions.Based on the Mountain pass theorem,we prove the existence of positive ground state solutions.展开更多
In this paper,a class of nonhomogeneous Schrodinger-Poisson systems with strong singularity are considered.Combining with the variational method and Nehari method,we obtain a positive solution for this system which im...In this paper,a class of nonhomogeneous Schrodinger-Poisson systems with strong singularity are considered.Combining with the variational method and Nehari method,we obtain a positive solution for this system which improves the recent results in the literature.展开更多
基金Supported by the Fundamental Research Funds of China West Normal University(No.18B015)Natural Science Foundation of Sichuan(No.23NSFSC1720).
文摘In this paper,we consider the following Schrodinger-Poisson system{-Δu+ηΦu=f(x,μ)+μ^(5),x∈Ω,-ΔФ=μ^(2),x∈Ω,μ=Φ=0,x∈■Ω,whereΩis a smooth bounded domain in R^(3),η=±1 and the continuous function f satisfies some suitable conditions.Based on the Mountain pass theorem,we prove the existence of positive ground state solutions.
基金Supported by the Scientific Research Fund of Sichuan Provincial Education Department(18ZA0471)Fundamental Research Funds of China West Normal University(18B015)Innovative Research Team of China West Normal University(CXTD2018-8).
文摘In this paper,a class of nonhomogeneous Schrodinger-Poisson systems with strong singularity are considered.Combining with the variational method and Nehari method,we obtain a positive solution for this system which improves the recent results in the literature.
