Positive and nodal solutions for a nonlinear Schrödinger–Poisson system with sign-changing potentials

We use a variational approach to deal with the system −Δu+V(x)u+K(x)ϕu=a(x)|u|p−1u,−Δϕ=K(x)u2,x∈R3, with 3

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2018-02, Vol.39, p.142-156
Main Authors: Batista, Alex M., Furtado, Marcelo F.
Format: Article
Language:English
Subjects:
Nodal solution
Nonlinear equations
Nonlinear systems
Positive solution
Schrödinger–Poisson system
Solutions
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Summary:We use a variational approach to deal with the system −Δu+V(x)u+K(x)ϕu=a(x)|u|p−1u,−Δϕ=K(x)u2,x∈R3, with 3
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2017.06.005