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Abstract:

We consider the elliptic system Δu = upvq, Δv = urvs in Ω , where p,s > 1, q,r > 0, and Ω ⊂ ℝN is a smooth bounded domain, subject to different types of Dirichlet boundary conditions: (F) u = λ, v = μ, (I) u=v=+∞ and (SF) u=+∞, v=μ on ∂Ω, where λ, μ > 0. Under several hypotheses on the parameters p, q, r, s, we show existence and nonexistence of positive solutions, uniqueness and nonuniqueness. We further provide the exact asymptotic behaviour of the solutions and their normal derivatives near ∂Ω. Some more general related problems are also studied. © 2004 Elsevier Inc.

Registro:

Documento: Artículo
Título:Boundary blow-up solutions to elliptic systems of competitive type
Autor:García-Melián, J.; Rossi, J.D.
Filiación:Depto. de Analisis Matematico, Universidad de La Laguna, c/. A. Francisco Sanchez s/n, 38271 - La Laguna, Spain
Ctro. de Modelamiento Matematico, Universidad de Chile, Blanco Encalada 2120, 7 Piso - Santiago, Chile
Departamento de Matematica, Facultad de Cies Exact y Nates, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Facultad de Matemáticas, Universidad Católica de Chile, Casilla 306, Santiago, Chile
Palabras clave:Boundary blow-up; Elliptic systems
Año:2004
Volumen:206
Número:1
Página de inicio:156
Página de fin:181
DOI: http://dx.doi.org/10.1016/j.jde.2003.12.004
Título revista:Journal of Differential Equations
Título revista abreviado:J. Differ. Equ.
ISSN:00220396
CODEN:JDEQA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v206_n1_p156_GarciaMelian

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Citas:

---------- APA ----------
García-Melián, J. & Rossi, J.D. (2004) . Boundary blow-up solutions to elliptic systems of competitive type. Journal of Differential Equations, 206(1), 156-181.
http://dx.doi.org/10.1016/j.jde.2003.12.004
---------- CHICAGO ----------
García-Melián, J., Rossi, J.D. "Boundary blow-up solutions to elliptic systems of competitive type" . Journal of Differential Equations 206, no. 1 (2004) : 156-181.
http://dx.doi.org/10.1016/j.jde.2003.12.004
---------- MLA ----------
García-Melián, J., Rossi, J.D. "Boundary blow-up solutions to elliptic systems of competitive type" . Journal of Differential Equations, vol. 206, no. 1, 2004, pp. 156-181.
http://dx.doi.org/10.1016/j.jde.2003.12.004
---------- VANCOUVER ----------
García-Melián, J., Rossi, J.D. Boundary blow-up solutions to elliptic systems of competitive type. J. Differ. Equ. 2004;206(1):156-181.
http://dx.doi.org/10.1016/j.jde.2003.12.004