Estimates for eigenvalues of quasilinear elliptic systems. Part II

In this paper we find explicit lower bounds for Dirichlet eigenvalues of a weighted quasilinear elliptic system of resonant type in terms of the eigenvalues of a single p-Laplace equation. Also we obtain asymptotic bounds by studying the spectral counting function which is defined as the number of e...

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Autores principales: Fernández Bonder, J., Pinasco, J.P.
Formato: INPR
Lenguaje:English
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00220396_v_n_p_FernandezBonder
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spelling todo:paper_00220396_v_n_p_FernandezBonder2023-10-03T14:25:39Z Estimates for eigenvalues of quasilinear elliptic systems. Part II Fernández Bonder, J. Pinasco, J.P. Eigenvalue bounds Elliptic system p-laplacian In this paper we find explicit lower bounds for Dirichlet eigenvalues of a weighted quasilinear elliptic system of resonant type in terms of the eigenvalues of a single p-Laplace equation. Also we obtain asymptotic bounds by studying the spectral counting function which is defined as the number of eigenvalues smaller than a given value. © 2008 Elsevier Inc. All rights reserved. Fil:Fernández Bonder, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. INPR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00220396_v_n_p_FernandezBonder
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language English
orig_language_str_mv English
topic Eigenvalue bounds
Elliptic system
p-laplacian
spellingShingle Eigenvalue bounds
Elliptic system
p-laplacian
Fernández Bonder, J.
Pinasco, J.P.
Estimates for eigenvalues of quasilinear elliptic systems. Part II
topic_facet Eigenvalue bounds
Elliptic system
p-laplacian
description In this paper we find explicit lower bounds for Dirichlet eigenvalues of a weighted quasilinear elliptic system of resonant type in terms of the eigenvalues of a single p-Laplace equation. Also we obtain asymptotic bounds by studying the spectral counting function which is defined as the number of eigenvalues smaller than a given value. © 2008 Elsevier Inc. All rights reserved.
format INPR
author Fernández Bonder, J.
Pinasco, J.P.
author_facet Fernández Bonder, J.
Pinasco, J.P.
author_sort Fernández Bonder, J.
title Estimates for eigenvalues of quasilinear elliptic systems. Part II
title_short Estimates for eigenvalues of quasilinear elliptic systems. Part II
title_full Estimates for eigenvalues of quasilinear elliptic systems. Part II
title_fullStr Estimates for eigenvalues of quasilinear elliptic systems. Part II
title_full_unstemmed Estimates for eigenvalues of quasilinear elliptic systems. Part II
title_sort estimates for eigenvalues of quasilinear elliptic systems. part ii
url http://hdl.handle.net/20.500.12110/paper_00220396_v_n_p_FernandezBonder
work_keys_str_mv AT fernandezbonderj estimatesforeigenvaluesofquasilinearellipticsystemspartii
AT pinascojp estimatesforeigenvaluesofquasilinearellipticsystemspartii
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