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Abstract:

In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative solutions to the semilinear elliptic equation - Δu = λ u - u p in Ω, with the nonlinear boundary condition ≈u/≈ν = ur on Ω. Here Ω is a smooth bounded domain of ℝ with outward unit normal ν, λ is a real parameter and p, r > 0. We also give the precise behavior of solutions for large |λ| in the cases where they exist. The proofs are mainly based on bifurcation techniques, sub-supersolutions and variational methods. © 2007 Springer-Verlag.

Registro:

Documento: Artículo
Título:Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
Autor:García-Melián, J.; Morales-Rodrigo, C.; Rossi, J.D.; Suárez, A.
Filiación:Dpto. de Análisis Matemático, Universidad de la Laguna, C/. Astrofísico Francisco Sánchez s/n, 38271 La Laguna, Spain
Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Fac. de Matemáticas, Univ. de Sevilla, C/. Tarfia s/n, Sevilla 41012, Spain
Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires 1428, Argentina
Instituto de Matemáticas y Física Fundamental, CSIC, C/. Serrano 123, Madrid 28006, Spain
Palabras clave:Elliptic equations; Nonlinear boundary conditions
Año:2008
Volumen:187
Número:3
Página de inicio:459
Página de fin:486
DOI: http://dx.doi.org/10.1007/s10231-007-0052-3
Título revista:Annali di Matematica Pura ed Applicata
Título revista abreviado:Ann. Mat. Pura Appl.
ISSN:03733114
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v187_n3_p459_GarciaMelian

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Citas:

---------- APA ----------
García-Melián, J., Morales-Rodrigo, C., Rossi, J.D. & Suárez, A. (2008) . Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary. Annali di Matematica Pura ed Applicata, 187(3), 459-486.
http://dx.doi.org/10.1007/s10231-007-0052-3
---------- CHICAGO ----------
García-Melián, J., Morales-Rodrigo, C., Rossi, J.D., Suárez, A. "Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary" . Annali di Matematica Pura ed Applicata 187, no. 3 (2008) : 459-486.
http://dx.doi.org/10.1007/s10231-007-0052-3
---------- MLA ----------
García-Melián, J., Morales-Rodrigo, C., Rossi, J.D., Suárez, A. "Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary" . Annali di Matematica Pura ed Applicata, vol. 187, no. 3, 2008, pp. 459-486.
http://dx.doi.org/10.1007/s10231-007-0052-3
---------- VANCOUVER ----------
García-Melián, J., Morales-Rodrigo, C., Rossi, J.D., Suárez, A. Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary. Ann. Mat. Pura Appl. 2008;187(3):459-486.
http://dx.doi.org/10.1007/s10231-007-0052-3