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An asymmetric Neumann problem with weights |
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| Authors: | M. Arias J. Campos M. Cuesta J.-P. Gossez |
| Affiliation: | 1. Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain;2. LMPA, Université du Littoral, 50, rue F. Buisson, BP 699, 62228 Calais, France;3. Département de Mathématique, C.P. 214, Université Libre de Bruxelles, 1050 Bruxelles, Belgium |
| Abstract: | We prove the existence of a first nonprincipal eigenvalue for an asymmetric Neumann problem with weights involving the p-Laplacian (cf. (1.2) below). As an application we obtain a first nontrivial curve in the corresponding Fu?ik spectrum (cf. (1.4) below). The case where one of the weights has meanvalue zero requires some special attention in connexion with the (PS) condition and with the mountain pass geometry. |
| Keywords: | 35J60 35P30 |
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