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...
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2010
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v249_n1_p136_Bonder http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
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| 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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