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Abstract:

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.

Registro:

Documento: Artículo
Título:Existence results for Gradient elliptic systems with nonlinear boundary conditions
Autor:Bonder, J.F.; Martínez, S.; Rossi, J.D.
Filiación:Departamento de Matemática, FCEyN UBA (1428), Buenos Aires, Argentina
Palabras clave:Elliptic systems; Nonlinear boundary conditions; Variational problems
Año:2007
Volumen:14
Número:1-2
Página de inicio:153
Página de fin:179
DOI: http://dx.doi.org/10.1007/s00030-007-5015-2
Título revista:Nonlinear Differential Equations and Applications
Título revista abreviado:Nonlinear Diff. Equ. Appl.
ISSN:10219722
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10219722_v14_n1-2_p153_Bonder.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v14_n1-2_p153_Bonder

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Citas:

---------- APA ----------
Bonder, J.F., Martínez, S. & Rossi, J.D. (2007) . Existence results for Gradient elliptic systems with nonlinear boundary conditions. Nonlinear Differential Equations and Applications, 14(1-2), 153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2
---------- CHICAGO ----------
Bonder, J.F., Martínez, S., Rossi, J.D. "Existence results for Gradient elliptic systems with nonlinear boundary conditions" . Nonlinear Differential Equations and Applications 14, no. 1-2 (2007) : 153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2
---------- MLA ----------
Bonder, J.F., Martínez, S., Rossi, J.D. "Existence results for Gradient elliptic systems with nonlinear boundary conditions" . Nonlinear Differential Equations and Applications, vol. 14, no. 1-2, 2007, pp. 153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2
---------- VANCOUVER ----------
Bonder, J.F., Martínez, S., Rossi, J.D. Existence results for Gradient elliptic systems with nonlinear boundary conditions. Nonlinear Diff. Equ. Appl. 2007;14(1-2):153-179.
http://dx.doi.org/10.1007/s00030-007-5015-2