The first non-zero Neumann p-fractional eigenvalue
In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s → 1- and as p → ∞. We show that there exists a constant K such that K(1-s)λ1(s,p) goes to the first non-zero Neumann eigenvalue of the p-Laplacian. While in the limit case p → ∞, we prove...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0362546X_v118_n_p130_DelPezzo |
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todo:paper_0362546X_v118_n_p130_DelPezzo2023-10-03T15:27:09Z The first non-zero Neumann p-fractional eigenvalue Del Pezzo, L.M. Salort, A.M. Hölder infinity Laplacian Neumann eigenvalues Nonlinear fractional Laplacian Laplace transforms Asymptotic behaviors Eigen-value Fractional Laplacian Infinity laplacian Laplacians Neumann Neumann eigenvalues P-Laplacian Eigenvalues and eigenfunctions In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s → 1- and as p → ∞. We show that there exists a constant K such that K(1-s)λ1(s,p) goes to the first non-zero Neumann eigenvalue of the p-Laplacian. While in the limit case p → ∞, we prove that λ-(1,s)1/p goes to an eigenvalue of the Hölder ∞-Laplacian. © 2015 Elsevier Ltd. All rights reserved. Fil:Del Pezzo, L.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Salort, A.M. 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_0362546X_v118_n_p130_DelPezzo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Hölder infinity Laplacian Neumann eigenvalues Nonlinear fractional Laplacian Laplace transforms Asymptotic behaviors Eigen-value Fractional Laplacian Infinity laplacian Laplacians Neumann Neumann eigenvalues P-Laplacian Eigenvalues and eigenfunctions |
| spellingShingle |
Hölder infinity Laplacian Neumann eigenvalues Nonlinear fractional Laplacian Laplace transforms Asymptotic behaviors Eigen-value Fractional Laplacian Infinity laplacian Laplacians Neumann Neumann eigenvalues P-Laplacian Eigenvalues and eigenfunctions Del Pezzo, L.M. Salort, A.M. The first non-zero Neumann p-fractional eigenvalue |
| topic_facet |
Hölder infinity Laplacian Neumann eigenvalues Nonlinear fractional Laplacian Laplace transforms Asymptotic behaviors Eigen-value Fractional Laplacian Infinity laplacian Laplacians Neumann Neumann eigenvalues P-Laplacian Eigenvalues and eigenfunctions |
| description |
In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s → 1- and as p → ∞. We show that there exists a constant K such that K(1-s)λ1(s,p) goes to the first non-zero Neumann eigenvalue of the p-Laplacian. While in the limit case p → ∞, we prove that λ-(1,s)1/p goes to an eigenvalue of the Hölder ∞-Laplacian. © 2015 Elsevier Ltd. All rights reserved. |
| format |
JOUR |
| author |
Del Pezzo, L.M. Salort, A.M. |
| author_facet |
Del Pezzo, L.M. Salort, A.M. |
| author_sort |
Del Pezzo, L.M. |
| title |
The first non-zero Neumann p-fractional eigenvalue |
| title_short |
The first non-zero Neumann p-fractional eigenvalue |
| title_full |
The first non-zero Neumann p-fractional eigenvalue |
| title_fullStr |
The first non-zero Neumann p-fractional eigenvalue |
| title_full_unstemmed |
The first non-zero Neumann p-fractional eigenvalue |
| title_sort |
first non-zero neumann p-fractional eigenvalue |
| url |
http://hdl.handle.net/20.500.12110/paper_0362546X_v118_n_p130_DelPezzo |
| work_keys_str_mv |
AT delpezzolm thefirstnonzeroneumannpfractionaleigenvalue AT salortam thefirstnonzeroneumannpfractionaleigenvalue AT delpezzolm firstnonzeroneumannpfractionaleigenvalue AT salortam firstnonzeroneumannpfractionaleigenvalue |
| _version_ |
1807318822486540288 |