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Infinitely many positive solutions for a Schrödinger–Poisson system

TitleInfinitely many positive solutions for a Schrödinger–Poisson system
Publication TypeJournal Article
Year of Publication2011
Authorsd’Avenia, P, Pomponio, A, Vaira, G
JournalNonlinear Analysis: Theory, Methods & Applications
Volume74
Pagination5705 - 5721
ISSN0362-546X
KeywordsNon-autonomous Schrödinger–Poisson system; Perturbation method
Abstract

We are interested in the existence of infinitely many positive solutions of the Schrödinger–Poisson system −Δu+u+V(|x|)ϕu=|u|p−1u,x∈R3,−Δϕ=V(|x|)u2,x∈R3, where V(|x|) is a positive bounded function, 1<p<5 and V(r

URLhttp://www.sciencedirect.com/science/article/pii/S0362546X11003518
DOI10.1016/j.na.2011.05.057

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