EnglishWe 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.
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http://hdl.handle.net/11568/113761| Autori interni: | DE PASCALE, LUIGI |
| 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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