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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Detalles Bibliográficos
Autores principales: Fernandez Bonder, Julian, Pinasco, Juan Pablo
Materias:
Eigenvalue bounds
Elliptic system
p-laplacian
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v_n_p_FernandezBonder
http://hdl.handle.net/20.500.12110/paper_00220396_v_n_p_FernandezBonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00220396_v_n_p_FernandezBonder
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spelling paper:paper_00220396_v_n_p_FernandezBonder2023-06-08T14:45:14Z Estimates for eigenvalues of quasilinear elliptic systems. Part II Fernandez Bonder, Julian Pinasco, Juan Pablo 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. https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v_n_p_FernandezBonder 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)
topic Eigenvalue bounds
Elliptic system
p-laplacian
spellingShingle Eigenvalue bounds
Elliptic system
p-laplacian
Fernandez Bonder, Julian
Pinasco, Juan Pablo
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.
author Fernandez Bonder, Julian
Pinasco, Juan Pablo
author_facet Fernandez Bonder, Julian
Pinasco, Juan Pablo
author_sort Fernandez Bonder, Julian
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v_n_p_FernandezBonder
http://hdl.handle.net/20.500.12110/paper_00220396_v_n_p_FernandezBonder
work_keys_str_mv AT fernandezbonderjulian estimatesforeigenvaluesofquasilinearellipticsystemspartii
AT pinascojuanpablo estimatesforeigenvaluesofquasilinearellipticsystemspartii
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