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: | ; |
|---|---|
| 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 |
| _version_ | 1878403186240258048 |
|---|---|
| author | Bonder, J.F. |
| author2 | Pinasco, J.P. |
| author2_role | author |
| author_browse | Bonder, J.F. Pinasco, J.P. |
| author_facet | Bonder, J.F. Pinasco, J.P. |
| author_role | author |
| collection | Biblioteca Digital (UBA-FCEN) |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | AR_4e79ca7e55fc97be38cd65cb02d2fddd |
| institution | UBA-FCEN |
| instname_str | Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
| language | eng |
| network_acronym_str | AR |
| network_name_str | Argentina |
| oai_identifier_str | paperaa:paper_00220396_v249_n1_p136_Bonder |
| publishDate | 2010 |
| publishDateSort | 2010 |
| reponame_str | Biblioteca Digital (UBA-FCEN) |
| spelling | Precise asymptotic of eigenvalues of resonant quasilinear systems 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. http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |
| spellingShingle | Precise asymptotic of eigenvalues of resonant quasilinear systems Bonder, J.F. Eigenvalue bounds Elliptic system P-Laplace |
| status_str | publishedVersion |
| title | 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_short | Precise asymptotic of eigenvalues of resonant quasilinear systems |
| title_sort | Precise asymptotic of eigenvalues of resonant quasilinear systems |
| topic | Eigenvalue bounds Elliptic system P-Laplace |
| topic_facet | Eigenvalue bounds Elliptic system P-Laplace |
| url | http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder |