Precise asymptotic of eigenvalues of resonant quasilinear systems
In this work we study the sequence of variational eigenvalues of a system of resonant type involving p- and q-Laplacians on Ω⊂RN, with a coupling term depending on two parameters α and β satisfying α/p+β/q=1. We show that the order of growth of the kth eigenvalue depends on α+β, λk=O(kα+βN) copy; 20...
| Autores: | ; |
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| Tipo de documento: | Artículo |
| Estado: | Published version |
| Fecha de publicación: | 2010 |
| País: | Argentina |
| Institución: | UBA-FCEN |
| Repositorio: | Biblioteca Digital (UBA-FCEN) |
| Lenguaje: | Inglés |
| OAI Identifier: | paperaa:paper_00220396_v249_n1_p136_Bonder |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Eigenvalue bounds Elliptic system P-Laplace |
| Sumario: | In this work we study the sequence of variational eigenvalues of a system of resonant type involving p- and q-Laplacians on Ω⊂RN, with a coupling term depending on two parameters α and β satisfying α/p+β/q=1. We show that the order of growth of the kth eigenvalue depends on α+β, λk=O(kα+βN) copy; 2010 Elsevier Inc. |
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