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THREE POSITIVE SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS IN ANNULAR DOMAINS

Published online by Cambridge University Press:  23 May 2005

João Marcos do Ó ,
Sebastián Lorca  and
Pedro Ubilla
João Marcos do Ó
Affiliation:
Departamento de Matemática, Universidade Federal da Paraíba, 58059-900, João Pessoa, PB, Brazil (jmbo@mat.ufpb.br)
Sebastián Lorca
Affiliation:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7-D, Arica, Chile (slorca@uta.cl)
Pedro Ubilla
Affiliation:
Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile (pubilla@usach.cl)
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Abstract

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In this paper we study the existence and multiplicity of positive radial solutions for a class of semilinear elliptic systems in bounded annular domains with non-homogeneous boundary conditions by the use of a fixed-point theorem of cone expansion/compression type.

Keywords

Primary 35J6534B1534B18elliptic systemsannular domainspositive radial solutionsmultiplicityfixed points
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 2 , June 2005 , pp. 365 - 373
Copyright
Copyright © Edinburgh Mathematical Society 2005