Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems

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This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system -Δ pu = F u(x,u,v), -Δ qv = F v(x,u...

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Autores principales: De Napoli, P.L., Mariani, M.C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2002
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_10853375_v7_n3_p155_DeNapoli2023-06-12T16:49:39Z Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems Abstr. Appl. Anal. 2002;7(3):155-167 De Napoli, P.L. Mariani, M.C. This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system -Δ pu = F u(x,u,v), -Δ qv = F v(x,u,v), under conditions involving the first and the second eigenvalues. Copyright © 2002 Hindawi Publishing Corporation. Fil:De Napoli, P.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2002 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
description This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system -Δ pu = F u(x,u,v), -Δ qv = F v(x,u,v), under conditions involving the first and the second eigenvalues. Copyright © 2002 Hindawi Publishing Corporation.
format Artículo
Artículo
publishedVersion
author De Napoli, P.L.
Mariani, M.C.
spellingShingle De Napoli, P.L.
Mariani, M.C.
Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
author_facet De Napoli, P.L.
Mariani, M.C.
author_sort De Napoli, P.L.
title Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
title_short Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
title_full Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
title_fullStr Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
title_full_unstemmed Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
title_sort quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
publishDate 2002
url http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli
work_keys_str_mv AT denapolipl quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
AT marianimc quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
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