Precise asymptotic of eigenvalues of resonant quasilinear systems

In this work we study the sequence of variational eigenvalues of a system of resonant type involving p- and q-Laplacians on Ω⊂RN, with a coupling term depending on two parameters α and β satisfying α/p+β/q=1. We show that the order of growth of the kth eigenvalue depends on α+β, λk=O(kα+βN) copy; 20...

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Detalles Bibliográficos
Autor principal: Pinasco, Juan Pablo
Publicado: 2010
Materias:
Eigenvalue bounds
Elliptic system
P-Laplace
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v249_n1_p136_Bonder
http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00220396_v249_n1_p136_Bonder
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spelling paper:paper_00220396_v249_n1_p136_Bonder2023-06-08T14:45:11Z Precise asymptotic of eigenvalues of resonant quasilinear systems Pinasco, Juan Pablo Eigenvalue bounds Elliptic system P-Laplace In this work we study the sequence of variational eigenvalues of a system of resonant type involving p- and q-Laplacians on Ω⊂RN, with a coupling term depending on two parameters α and β satisfying α/p+β/q=1. We show that the order of growth of the kth eigenvalue depends on α+β, λk=O(kα+βN) copy; 2010 Elsevier Inc. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v249_n1_p136_Bonder http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder
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-Laplace
spellingShingle Eigenvalue bounds
Elliptic system
P-Laplace
Pinasco, Juan Pablo
Precise asymptotic of eigenvalues of resonant quasilinear systems
topic_facet Eigenvalue bounds
Elliptic system
P-Laplace
description In this work we study the sequence of variational eigenvalues of a system of resonant type involving p- and q-Laplacians on Ω⊂RN, with a coupling term depending on two parameters α and β satisfying α/p+β/q=1. We show that the order of growth of the kth eigenvalue depends on α+β, λk=O(kα+βN) copy; 2010 Elsevier Inc.
author Pinasco, Juan Pablo
author_facet Pinasco, Juan Pablo
author_sort Pinasco, Juan Pablo
title Precise asymptotic of eigenvalues of resonant quasilinear systems
title_short Precise asymptotic of eigenvalues of resonant quasilinear systems
title_full Precise asymptotic of eigenvalues of resonant quasilinear systems
title_fullStr Precise asymptotic of eigenvalues of resonant quasilinear systems
title_full_unstemmed Precise asymptotic of eigenvalues of resonant quasilinear systems
title_sort precise asymptotic of eigenvalues of resonant quasilinear systems
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v249_n1_p136_Bonder
http://hdl.handle.net/20.500.12110/paper_00220396_v249_n1_p136_Bonder
work_keys_str_mv AT pinascojuanpablo preciseasymptoticofeigenvaluesofresonantquasilinearsystems
_version_ 1768543167162875904

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