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Abstract:

In this paper we consider the elliptic system Δu = up - vq, Δv = -ur + vs in Ω, where the exponents verify p, s > 1, q, r > 0 and ps > qr, and Ω is a smooth bounded domain of ℝN. First, we show existence and uniqueness of boundary blow-up solutions, that is, solutions (u, v) verifying u = v = +∞ on ∂Ω. Then, we use them to analyze the removability of singularities of positive solutions of the system in the particular case qr ≤ 1, where comparison is available. © 2016, American Institute of Mathematical Sciences. All rights reserved.

Registro:

Documento: Artículo
Título:Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities
Autor:García-Melián, J.; Rossi, J.D.; Sabina De Lis, J.C.
Filiación:Departamento de Análisis Matemático, Universidad de La Laguna, C/. Astrofísico Francisco Sánchez s/n, La Laguna, 38271, Spain
IUdEA en Física Atómica, Molecular y Fotónica, Universidad de La Laguna, C/. Astrofísico Francisco Sánchez s/n, La Laguna, 38203, Spain
Departamento de Matemática, FCEyN UBA, Ciudad Universitaria, Pab 1 (1428), Buenos Aires, Argentina
Palabras clave:Boundary blow-up; Elliptic systems; Removable singularities
Año:2016
Volumen:15
Número:2
Página de inicio:549
Página de fin:562
DOI: http://dx.doi.org/10.3934/cpaa.2016.15.549
Título revista:Communications on Pure and Applied Analysis
Título revista abreviado:Commun. Pure Appl. Anal.
ISSN:15340392
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v15_n2_p549_GarciaMelian

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Citas:

---------- APA ----------
García-Melián, J., Rossi, J.D. & Sabina De Lis, J.C. (2016) . Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities. Communications on Pure and Applied Analysis, 15(2), 549-562.
http://dx.doi.org/10.3934/cpaa.2016.15.549
---------- CHICAGO ----------
García-Melián, J., Rossi, J.D., Sabina De Lis, J.C. "Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities" . Communications on Pure and Applied Analysis 15, no. 2 (2016) : 549-562.
http://dx.doi.org/10.3934/cpaa.2016.15.549
---------- MLA ----------
García-Melián, J., Rossi, J.D., Sabina De Lis, J.C. "Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities" . Communications on Pure and Applied Analysis, vol. 15, no. 2, 2016, pp. 549-562.
http://dx.doi.org/10.3934/cpaa.2016.15.549
---------- VANCOUVER ----------
García-Melián, J., Rossi, J.D., Sabina De Lis, J.C. Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities. Commun. Pure Appl. Anal. 2016;15(2):549-562.
http://dx.doi.org/10.3934/cpaa.2016.15.549