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: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Argentina |
| Institución: | Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
| Repositorio: | Biblioteca Digital (UBA-FCEN) |
| Idioma: | 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 |
| Access Level: | acceso abierto |
| Palabra clave: | Eigenvalue bounds Elliptic system P-Laplace |
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Precise asymptotic of eigenvalues of resonant quasilinear systemsBonder, J.F.Pinasco, J.P.Eigenvalue boundsElliptic systemP-LaplaceIn 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.2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_BonderJ. Differ. Equ. 2010;249(1):136-150reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2024-05-10T10:42:31Zpaperaa:paper_00220396_v249_n1_p136_BonderInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962024-05-10 10:42:32.335Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse |
| dc.title.none.fl_str_mv |
Precise asymptotic of eigenvalues of resonant quasilinear systems |
| title |
Precise asymptotic of eigenvalues of resonant quasilinear systems |
| spellingShingle |
Precise asymptotic of eigenvalues of resonant quasilinear systems Bonder, J.F. Eigenvalue bounds Elliptic system P-Laplace |
| 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 |
| dc.creator.none.fl_str_mv |
Bonder, J.F. Pinasco, J.P. |
| author |
Bonder, J.F. |
| author_facet |
Bonder, J.F. Pinasco, J.P. |
| author_role |
author |
| author2 |
Pinasco, J.P. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Eigenvalue bounds Elliptic system P-Laplace |
| topic |
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. |
| publishDate |
2010 |
| dc.date.none.fl_str_mv |
2010 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
| url |
http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar |
| eu_rights_str_mv |
openAccess |
| rights_invalid_str_mv |
http://creativecommons.org/licenses/by/2.5/ar |
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application/pdf |
| dc.source.none.fl_str_mv |
J. Differ. Equ. 2010;249(1):136-150 reponame:Biblioteca Digital (UBA-FCEN) instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales instacron:UBA-FCEN |
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Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
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UBA-FCEN |
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UBA-FCEN |
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Biblioteca Digital (UBA-FCEN) |
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Biblioteca Digital (UBA-FCEN) |
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Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
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ana@bl.fcen.uba.ar |
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15,811543 |