Simplicity and stability of the first eigenvalue of a (p;q) Laplacian system

This article concerns special properties of the principal eigenvalue of a nonlinear elliptic system with Dirichlet boundary conditions. In particular, we show the simplicity of the first eigenvalue of $$displaylines{ -Delta_p u = lambda |u|^{alpha-1}|v|^{eta-1}v quad hbox{in } Omega,cr -Delta...

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Bibliographic Details
Main Authors: Ghasem A. Afrouzi, Maryam Mirzapour, Qihu Zhang
Format: Article
Language:English
Published: Texas State University 2012-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/08/abstr.html