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Title: A Positive Solution of a Schrödinger-Poisson System with Critical Exponent
Author: Huang, Lirong
Rocha, Eugénio M.
Keywords: Critical growth
Positive solution
Schrodinger-poisson system
Variational methods
Issue Date: 2013
Publisher: Mathematical Research Publishers
Abstract: We use variational methods to study the existence of at least one positive solution of the following Schrödinger-Poisson system {-δu+u+l(x) φu=k(x)u2*-2+u+μh(x)uq-2 in R3, -δφ = l(x)u2 in R3, under some suitable conditions on the non-negative functions l, k,h and constant μ > 0, where 2 ≤ q < 2* (critical Sobolev exponent).
Peer review: yes
ISSN: 1938-9787
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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