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: JOUR
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
id todo:paper_10853375_v7_n3_p155_DeNapoli
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spelling todo:paper_10853375_v7_n3_p155_DeNapoli2023-10-03T16:04:17Z Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems 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. JOUR 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)
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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli
work_keys_str_mv AT denapolipl quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
AT marianimc quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
_version_ 1807321114101153792

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