Existence results for Gradient elliptic systems with nonlinear boundary conditions
We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). The proofs are done under suitable assumptions on the potential F, and based...
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2007
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v14_n1-2_p153_Bonder http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder |
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paper:paper_10219722_v14_n1-2_p153_Bonder2023-06-08T16:00:03Z Existence results for Gradient elliptic systems with nonlinear boundary conditions Martínez, Sandra Rita Rossi, Julio Daniel Elliptic systems Nonlinear boundary conditions Variational problems We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). The proofs are done under suitable assumptions on the potential F, and based on variational arguments. Our results include subcritical, resonant and critical growth on F. © 2007 Birkhäuser Verlag. Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v14_n1-2_p153_Bonder http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Elliptic systems Nonlinear boundary conditions Variational problems |
| spellingShingle |
Elliptic systems Nonlinear boundary conditions Variational problems Martínez, Sandra Rita Rossi, Julio Daniel Existence results for Gradient elliptic systems with nonlinear boundary conditions |
| topic_facet |
Elliptic systems Nonlinear boundary conditions Variational problems |
| description |
We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). The proofs are done under suitable assumptions on the potential F, and based on variational arguments. Our results include subcritical, resonant and critical growth on F. © 2007 Birkhäuser Verlag. |
| author |
Martínez, Sandra Rita Rossi, Julio Daniel |
| author_facet |
Martínez, Sandra Rita Rossi, Julio Daniel |
| author_sort |
Martínez, Sandra Rita |
| title |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
| title_short |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
| title_full |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
| title_fullStr |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
| title_full_unstemmed |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
| title_sort |
existence results for gradient elliptic systems with nonlinear boundary conditions |
| publishDate |
2007 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v14_n1-2_p153_Bonder http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder |
| work_keys_str_mv |
AT martinezsandrarita existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions AT rossijuliodaniel existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions |
| _version_ |
1768542798742552576 |