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Abstract:

In this work, we consider a class of semilinear elliptic problems with nonlinear boundary conditions of mixed type. Under some monotonicity properties of the nonlinearities involved, we show that positive solutions are unique, and that their existence is characterized by the sign of some associated eigenvalues. One of the most important contributions of this work relies on the fact that we deal with boundary conditions of the form ∂ μ/∂ν = g(x,u) on Γ and u = 0 on Γ', where ν is the outward unit normal to Γ while Γ,Γ' are open, Γ ∩ Γ' = ∅, ∂Ω = Γ ̄∩ Γ̄'but Γ ̄ Γ̄' need not be disjoint. © 2009 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Existence and uniqueness of positive solutions to elliptic problems with sublinear mixed boundary conditions
Autor:GarcÍa-MeliÁn, J.; Rossi, J.D.; Sabina De Lis, J.C.
Filiación:Dpto. de Análisis Matemático, Universidad de la Laguna, C/Astrofísico Francisco Sánchez s/n, La Laguna 38271, Spain
Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Instituto de Matemáticas y Física Fundamental, CSIC, C/Serrano 123, 28006 Madrid, Spain
Palabras clave:Elliptic equations; Mixed boundary conditions; Nonlinear boundary conditions; Sublinear problems; Variational methods; bifurcation.
Año:2009
Volumen:11
Número:4
Página de inicio:585
Página de fin:613
DOI: http://dx.doi.org/10.1142/S0219199709003508
Título revista:Communications in Contemporary Mathematics
Título revista abreviado:Commun. Contemp. Math.
ISSN:02191997
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02191997_v11_n4_p585_GarcIaMeliAn

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Citas:

---------- APA ----------
GarcÍa-MeliÁn, J., Rossi, J.D. & Sabina De Lis, J.C. (2009) . Existence and uniqueness of positive solutions to elliptic problems with sublinear mixed boundary conditions. Communications in Contemporary Mathematics, 11(4), 585-613.
http://dx.doi.org/10.1142/S0219199709003508
---------- CHICAGO ----------
GarcÍa-MeliÁn, J., Rossi, J.D., Sabina De Lis, J.C. "Existence and uniqueness of positive solutions to elliptic problems with sublinear mixed boundary conditions" . Communications in Contemporary Mathematics 11, no. 4 (2009) : 585-613.
http://dx.doi.org/10.1142/S0219199709003508
---------- MLA ----------
GarcÍa-MeliÁn, J., Rossi, J.D., Sabina De Lis, J.C. "Existence and uniqueness of positive solutions to elliptic problems with sublinear mixed boundary conditions" . Communications in Contemporary Mathematics, vol. 11, no. 4, 2009, pp. 585-613.
http://dx.doi.org/10.1142/S0219199709003508
---------- VANCOUVER ----------
GarcÍa-MeliÁn, J., Rossi, J.D., Sabina De Lis, J.C. Existence and uniqueness of positive solutions to elliptic problems with sublinear mixed boundary conditions. Commun. Contemp. Math. 2009;11(4):585-613.
http://dx.doi.org/10.1142/S0219199709003508