Asymptotic behavior of non linear eigenvalue problems involving $p-$Laplacian type operators

We study the asymptotic behaviour of two nonlinear eigenvalue problems which involve p-Laplacian-type operators. In the first problem we consider the limit as p goes to infinity of the sequences of the kth eigenvalues of the p-Laplacian operators. The second problem we study is the homogenization of nonlinear eigenvalue problems for some p-Laplacian-type operators with p fixed. Our asymptotic analysis relies on a convergence result for particular critical values of a class of Rayleigh quotients, stated in a unified framework, and on the notion of Gamma-convergence.



Autori interni: 
DE PASCALE, LUIGI
mostra contributor esterni 
Autori: CHAMPION; T; DE PASCALE L; L
Titolo: Asymptotic behavior of non linear eigenvalue problems involving $p-$Laplacian type operators
Anno del prodotto: 2007
Digital Object Identifier (DOI): 10.1017/S0308210506000667
Appare nelle tipologie:1.1 Articolo in rivista

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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11568/113761
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