An optimization problem for the first eigenvalue of the p-fractional Laplacian
In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependen...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo |
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todo:paper_0025584X_v291_n4_p632_DelPezzo2023-10-03T14:36:21Z An optimization problem for the first eigenvalue of the p-fractional Laplacian Del Pezzo, L. Fernández Bonder, J. López Ríos, L. fractional laplacian nonlinear eigenvalues Optimization In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
fractional laplacian nonlinear eigenvalues Optimization |
| spellingShingle |
fractional laplacian nonlinear eigenvalues Optimization Del Pezzo, L. Fernández Bonder, J. López Ríos, L. An optimization problem for the first eigenvalue of the p-fractional Laplacian |
| topic_facet |
fractional laplacian nonlinear eigenvalues Optimization |
| description |
In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |
| format |
JOUR |
| author |
Del Pezzo, L. Fernández Bonder, J. López Ríos, L. |
| author_facet |
Del Pezzo, L. Fernández Bonder, J. López Ríos, L. |
| author_sort |
Del Pezzo, L. |
| title |
An optimization problem for the first eigenvalue of the p-fractional Laplacian |
| title_short |
An optimization problem for the first eigenvalue of the p-fractional Laplacian |
| title_full |
An optimization problem for the first eigenvalue of the p-fractional Laplacian |
| title_fullStr |
An optimization problem for the first eigenvalue of the p-fractional Laplacian |
| title_full_unstemmed |
An optimization problem for the first eigenvalue of the p-fractional Laplacian |
| title_sort |
optimization problem for the first eigenvalue of the p-fractional laplacian |
| url |
http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo |
| work_keys_str_mv |
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| _version_ |
1807316479475974144 |