Eigenvalue homogenisation problem with indefinite weights
In this work we study the homogenisation problem for nonlinear elliptic equations involving p-Laplaciantype operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues. We show that the kth positive eigenvalue g...
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todo:paper_00049727_v93_n1_p113_FernandezBonder2023-10-03T14:03:12Z Eigenvalue homogenisation problem with indefinite weights Fernandez Bonder, J. Pinasco, J.P. Salort, A.M. eigenvalues homogenisation indefinite weights p-Laplace-type problems In this work we study the homogenisation problem for nonlinear elliptic equations involving p-Laplaciantype operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues. We show that the kth positive eigenvalue goes to infinity when the average of the weights is nonpositive, and converges to the kth variational eigenvalue of the limit problem when the average is positive for any k ≥ 1. © 2015 Australian Mathematical Publishing Association Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00049727_v93_n1_p113_FernandezBonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
eigenvalues homogenisation indefinite weights p-Laplace-type problems |
| spellingShingle |
eigenvalues homogenisation indefinite weights p-Laplace-type problems Fernandez Bonder, J. Pinasco, J.P. Salort, A.M. Eigenvalue homogenisation problem with indefinite weights |
| topic_facet |
eigenvalues homogenisation indefinite weights p-Laplace-type problems |
| description |
In this work we study the homogenisation problem for nonlinear elliptic equations involving p-Laplaciantype operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues. We show that the kth positive eigenvalue goes to infinity when the average of the weights is nonpositive, and converges to the kth variational eigenvalue of the limit problem when the average is positive for any k ≥ 1. © 2015 Australian Mathematical Publishing Association Inc. |
| format |
JOUR |
| author |
Fernandez Bonder, J. Pinasco, J.P. Salort, A.M. |
| author_facet |
Fernandez Bonder, J. Pinasco, J.P. Salort, A.M. |
| author_sort |
Fernandez Bonder, J. |
| title |
Eigenvalue homogenisation problem with indefinite weights |
| title_short |
Eigenvalue homogenisation problem with indefinite weights |
| title_full |
Eigenvalue homogenisation problem with indefinite weights |
| title_fullStr |
Eigenvalue homogenisation problem with indefinite weights |
| title_full_unstemmed |
Eigenvalue homogenisation problem with indefinite weights |
| title_sort |
eigenvalue homogenisation problem with indefinite weights |
| url |
http://hdl.handle.net/20.500.12110/paper_00049727_v93_n1_p113_FernandezBonder |
| work_keys_str_mv |
AT fernandezbonderj eigenvaluehomogenisationproblemwithindefiniteweights AT pinascojp eigenvaluehomogenisationproblemwithindefiniteweights AT salortam eigenvaluehomogenisationproblemwithindefiniteweights |
| _version_ |
1807317114426490880 |