Simplicity and stability of the first eigenvalue of a nonlinear elliptic system

Simplicity and stability of the first eigenvalue of a nonlinear elliptic system

We prove some properties of the first eigenvalue for the elliptic system −Δpu=λ|u|α|v|βv in Ω, −Δqv=λ|u|α|v|βu in Ω, (u,v)∈W01,p(Ω)×W01,q(Ω). In particular, the first eigenvalue is shown to be simple. Moreover, the stability with respect to (p,q) is established.

Bibliographic Details
Main Authors:	Abdelouahed El Khalil, Said El Manouni, Mohammed Ouanan
Format:	Article
Language:	English
Published:	Hindawi Limited 2005-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/IJMMS.2005.1555

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