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
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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
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Palabras clave: | Elliptic equations; Nonlinear boundary conditions |
Año: | 2008
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Volumen: | 187
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Número: | 3
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Página de inicio: | 459
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Página de fin: | 486
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DOI: |
http://dx.doi.org/10.1007/s10231-007-0052-3 |
Título revista: | Annali di Matematica Pura ed Applicata
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Título revista abreviado: | Ann. Mat. Pura Appl.
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ISSN: | 03733114
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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