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Positive and nodal ground state solutions for a critical Schrödinger-Poisson system with indefinite potentials

Marcelo F. Furtado,Ying Wang,Ziheng Zhang

Journal of Mathematical Analysis and Applications（2023）

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Abstract
We consider the Schrödinger-Poisson system{−Δu+V(x)u+K(x)ϕu=a(x)|u|p−2u+|u|4u,x∈R3,−Δϕ=K(x)u2,x∈R3, where 4
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Key words
nodal ground state solutions,indefinite potentials,dinger-poisson
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