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:||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|