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Abstract:

In this paper we prove the existence of nonnegative nontrivial solutions of the system with nonlinear coupling through the boundary given byunder suitable assumptions on the nonlinear terms f and g. For the proof we use a fixed-point argument and the key ingredient is a Liouville type theorem for a system of Laplace equations with nonlinear coupling through the boundary of power type in the half space.

Registro:

Documento: Artículo
Título:Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
Autor:Bonder, J.F.; Rossi, J.D.
Filiación:Departamento de Matemática, FCEyN, UBA (1428) Buenos Aires, Argentina
Año:2001
Volumen:6
Número:1
Página de inicio:1
Página de fin:20
Título revista:Advances in Differential Equations
Título revista abreviado:Adv. Differ. Equ.
ISSN:10799389
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder

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Citas:

---------- APA ----------
Bonder, J.F. & Rossi, J.D. (2001) . Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods. Advances in Differential Equations, 6(1), 1-20.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder [ ]
---------- CHICAGO ----------
Bonder, J.F., Rossi, J.D. "Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods" . Advances in Differential Equations 6, no. 1 (2001) : 1-20.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder [ ]
---------- MLA ----------
Bonder, J.F., Rossi, J.D. "Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods" . Advances in Differential Equations, vol. 6, no. 1, 2001, pp. 1-20.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder [ ]
---------- VANCOUVER ----------
Bonder, J.F., Rossi, J.D. Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods. Adv. Differ. Equ. 2001;6(1):1-20.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder [ ]