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Title: Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
Author: Chen, Jianqing
Huang, Lirong
Rocha, Eugénio
Keywords: Ground state and bound states
Bifurcation properties
Schrodinger-Poisson system
Variational method
Issue Date: 2019
Publisher: Texas State University, Department of Mathematics
Abstract: This article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrödinger-Poisson system(Forumala Presented). Under suitable assumptions on the coefficient h(x), we prove that the ground state must bifurcate from zero, and that another bound state bifurcates from a solution, when µ = µ 1 is the first eigenvalue of −∆u + u = µh(x)u in H 1 (R 3 )
Peer review: yes
ISSN: 1072-6691
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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