Artículo
Bonder, J.F.; Pinasco, J.P.; Rossi, J.D. "Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions" (1999) Electronic Journal of Differential Equations. 1999:1-15
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Abstract:
We prove the existence of nontrivial solutions to the system Δu = u, Δv = v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by ∂u/∂η = Hv, ∂v/∂η = Hu. The proof is done under suitable assumptions on the Hamiltonian H, and based on a variational argument that is a generalization of the mountain pass theorem. Under further assumptions on the Hamiltonian, we prove the existence of positive solutions.
Registro:
| Documento: | Artículo |
| Título: | Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions |
| Autor: | Bonder, J.F.; Pinasco, J.P.; Rossi, J.D. |
| Filiación: | Departamento de Matemática, FCEyN, UBA, (1428) Buenos Aires, Argentina Universidad de San Andres, Vito Dumas 284, (1684), Prov. Buenos Aires, Argentina |
| Palabras clave: | Elliptic systems; Nonlinear boundary conditions; Variational problems |
| Año: | 1999 |
| Volumen: | 1999 |
| Página de inicio: | 1 |
| Página de fin: | 15 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v1999_n_p1_Bonder |
Referencias:
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Citas:
---------- APA ----------
Bonder, J.F., Pinasco, J.P. & Rossi, J.D. (1999) . Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions. Electronic Journal of Differential Equations, 1999, 1-15.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v1999_n_p1_Bonder [ ]
---------- CHICAGO ----------
Bonder, J.F., Pinasco, J.P., Rossi, J.D. "Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions" . Electronic Journal of Differential Equations 1999 (1999) : 1-15.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v1999_n_p1_Bonder [ ]
---------- MLA ----------
Bonder, J.F., Pinasco, J.P., Rossi, J.D. "Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions" . Electronic Journal of Differential Equations, vol. 1999, 1999, pp. 1-15.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v1999_n_p1_Bonder [ ]
---------- VANCOUVER ----------
Bonder, J.F., Pinasco, J.P., Rossi, J.D. Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions. Electron. J. Differ. Equ. 1999;1999:1-15.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v1999_n_p1_Bonder [ ]
