Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems

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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Detalles Bibliográficos
Autores principales: De Napoli, Pablo Luis, Mariani, María Cristina
Publicado: 2002
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v7_n3_p155_DeNapoli
http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10853375_v7_n3_p155_DeNapoli
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spelling paper:paper_10853375_v7_n3_p155_DeNapoli2023-06-08T16:06:06Z Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems De Napoli, Pablo Luis Mariani, María Cristina 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v7_n3_p155_DeNapoli 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.
author De Napoli, Pablo Luis
Mariani, María Cristina
spellingShingle De Napoli, Pablo Luis
Mariani, María Cristina
Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
author_facet De Napoli, Pablo Luis
Mariani, María Cristina
author_sort De Napoli, Pablo Luis
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v7_n3_p155_DeNapoli
http://hdl.handle.net/20.500.12110/paper_10853375_v7_n3_p155_DeNapoli
work_keys_str_mv AT denapolipabloluis quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
AT marianimariacristina quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems
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