Open AccessA global bifurcation result of a Neumann problem with indefinite weight
Author(s) -
Abdelouahed El Khalil,
Mohammed Ouanan
Publication year - 2004
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2004.1.9
Subject(s) - mathematics , bifurcation , von neumann architecture , pure mathematics , calculus (dental) , mathematical economics , nonlinear system , medicine , physics , quantum mechanics , dentistry
This paper is concerned with the bifurcation result of nonlinear Neumann problem pu = m (x)juj p 2 u + f(; x; u) in @u @ = 0 on @ : We prove that the principal eigenvalue 1 of the corresponding eigenvalue problem with f 0; is a bifurcation point by using a generalized degree type of Rabinowitz.
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