Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator
In this paper we study the spectral counting function for the weighted p-laplacian in one dimension. First, we prove that all the eigenvalues can be obtained by a minimax characterization and then we show the existence of a Weyl-type leading term. Finally we find estimates for the remainder term.
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00042080_v41_n2_p267_Bonder |
| Aporte de: |
| id |
todo:paper_00042080_v41_n2_p267_Bonder |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00042080_v41_n2_p267_Bonder2023-10-03T13:57:11Z Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator Bonder, J.F. Pablo Pinasco, J. In this paper we study the spectral counting function for the weighted p-laplacian in one dimension. First, we prove that all the eigenvalues can be obtained by a minimax characterization and then we show the existence of a Weyl-type leading term. Finally we find estimates for the remainder term. Fil:Pablo Pinasco, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00042080_v41_n2_p267_Bonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
In this paper we study the spectral counting function for the weighted p-laplacian in one dimension. First, we prove that all the eigenvalues can be obtained by a minimax characterization and then we show the existence of a Weyl-type leading term. Finally we find estimates for the remainder term. |
| format |
JOUR |
| author |
Bonder, J.F. Pablo Pinasco, J. |
| spellingShingle |
Bonder, J.F. Pablo Pinasco, J. Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator |
| author_facet |
Bonder, J.F. Pablo Pinasco, J. |
| author_sort |
Bonder, J.F. |
| title |
Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator |
| title_short |
Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator |
| title_full |
Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator |
| title_fullStr |
Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator |
| title_full_unstemmed |
Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator |
| title_sort |
asymptotic behavior of the eigenvalues of the one-dimensional weighted p-laplace operator |
| url |
http://hdl.handle.net/20.500.12110/paper_00042080_v41_n2_p267_Bonder |
| work_keys_str_mv |
AT bonderjf asymptoticbehavioroftheeigenvaluesoftheonedimensionalweightedplaplaceoperator AT pablopinascoj asymptoticbehavioroftheeigenvaluesoftheonedimensionalweightedplaplaceoperator |
| _version_ |
1782029827009675264 |