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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| Formato: | Artículo publishedVersion |
| Lenguaje: | Inglés |
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2010
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
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paperaa:paper_00220396_v249_n1_p136_Bonder2023-06-12T16:43:39Z Precise asymptotic of eigenvalues of resonant quasilinear systems J. Differ. Equ. 2010;249(1):136-150 Bonder, J.F. Pinasco, J.P. Eigenvalue bounds Elliptic system P-Laplace 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. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Eigenvalue bounds Elliptic system P-Laplace |
| spellingShingle |
Eigenvalue bounds Elliptic system P-Laplace Bonder, J.F. Pinasco, J.P. Precise asymptotic of eigenvalues of resonant quasilinear systems |
| topic_facet |
Eigenvalue bounds Elliptic system P-Laplace |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Bonder, J.F. Pinasco, J.P. |
| author_facet |
Bonder, J.F. Pinasco, J.P. |
| author_sort |
Bonder, J.F. |
| title |
Precise asymptotic of eigenvalues of resonant quasilinear systems |
| title_short |
Precise asymptotic of eigenvalues of resonant quasilinear systems |
| title_full |
Precise asymptotic of eigenvalues of resonant quasilinear systems |
| title_fullStr |
Precise asymptotic of eigenvalues of resonant quasilinear systems |
| title_full_unstemmed |
Precise asymptotic of eigenvalues of resonant quasilinear systems |
| title_sort |
precise asymptotic of eigenvalues of resonant quasilinear systems |
| publishDate |
2010 |
| url |
http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
| work_keys_str_mv |
AT bonderjf preciseasymptoticofeigenvaluesofresonantquasilinearsystems AT pinascojp preciseasymptoticofeigenvaluesofresonantquasilinearsystems |
| _version_ |
1769810017622425600 |