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
Publicado: 2002
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v7_n3_p155_DeNapoli_oai
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spelling I28-R145-paper_10853375_v7_n3_p155_DeNapoli_oai2024-08-16 De Napoli, P.L. Mariani, M.C. 2002 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Abstr. Appl. Anal. 2002;7(3):155-167 Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v7_n3_p155_DeNapoli_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v7_n3_p155_DeNapoli_oai
work_keys_str_mv AT denapolipl quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
AT marianimc quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
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