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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2002
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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 |
_version_ |
1768543572973322240 |