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Abstract:

We study the existence of solutions for the nonlinear second order elliptic system f(u) + g(u) = f (x), where g C(ℝN\\δ, ℝN) with δ ℝN bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolated repulsive singularity: under a Nirenberg type condition, we prove the existence of a sequence of solutions of appropriate approximated problems that converges to a generalized solution. © 2012 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:An elliptic singular system with nonlocal boundary conditions
Autor:Amster, P.; Maurette, M.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, (1428) Buenos Aires, Argentina
IMAS-Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
Palabras clave:Elliptic system; Nonlocal conditions; Singularities; Topological degree; Mathematical techniques; Nonlinear analysis; Elliptic system; Existence of Solutions; Non-local boundary conditions; Non-local conditions; Second order elliptic; Singularities; Topological degree; Topological degree methods; Topology
Año:2012
Volumen:75
Número:15
Página de inicio:5815
Página de fin:5823
DOI: http://dx.doi.org/10.1016/j.na.2012.05.024
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v75_n15_p5815_Amster

Referencias:

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Citas:

---------- APA ----------
Amster, P. & Maurette, M. (2012) . An elliptic singular system with nonlocal boundary conditions. Nonlinear Analysis, Theory, Methods and Applications, 75(15), 5815-5823.
http://dx.doi.org/10.1016/j.na.2012.05.024
---------- CHICAGO ----------
Amster, P., Maurette, M. "An elliptic singular system with nonlocal boundary conditions" . Nonlinear Analysis, Theory, Methods and Applications 75, no. 15 (2012) : 5815-5823.
http://dx.doi.org/10.1016/j.na.2012.05.024
---------- MLA ----------
Amster, P., Maurette, M. "An elliptic singular system with nonlocal boundary conditions" . Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 15, 2012, pp. 5815-5823.
http://dx.doi.org/10.1016/j.na.2012.05.024
---------- VANCOUVER ----------
Amster, P., Maurette, M. An elliptic singular system with nonlocal boundary conditions. Nonlinear Anal Theory Methods Appl. 2012;75(15):5815-5823.
http://dx.doi.org/10.1016/j.na.2012.05.024