### Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems.

Shibata, Tetsutaro (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Shibata, Tetsutaro (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Afrouzi, G. A., Ghasemzadeh, H. (2002)

International Journal of Mathematics and Mathematical Sciences

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Shibata, Tetsutaro (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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International Journal of Mathematics and Mathematical Sciences

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Annales de l'I.H.P. Analyse non linéaire

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Abstract and Applied Analysis

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Commentationes Mathematicae Universitatis Carolinae

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We obtain a non-existence result for a class of quasi-linear eigenvalue problems when a parameter is small. By using Pohozaev identity and some comparison arguments, non-existence theorems are established for quasi-linear eigenvalue problems under supercritical growth condition.