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...
| Authors: | ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2010 |
| Country: | Argentina |
| Institution: | UBA-FCEN |
| Repository: | Biblioteca Digital (UBA-FCEN) |
| Language: | English |
| OAI Identifier: | paperaa:paper_00220396_v249_n1_p136_Bonder |
| Online Access: | http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
| Access Level: | Open access |
| Keyword: | Eigenvalue bounds Elliptic system P-Laplace |
| Summary: | 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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