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Non-homogeneous elliptic equations in exterior domains

Published online by Cambridge University Press:  12 July 2007

J. do Ó ,
S. Lorca ,
J. Sánchez  and
P. Ubilla
J. do Ó
Affiliation:
Departamento de Matemática, Universidade Federal da Paraıba, 58059-900 João Pessoa, PB, Brazil (jmbo@mat.ufpb.br)
S. Lorca
Affiliation:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7-D, Arica, Chile (slorca@uta.cl)
J. Sánchez
Affiliation:
Departamento de Matemáticas, Universidad de la Serena, Casilla 559-554, La Serena, Chile (jsanchez@userena.cl)
P. Ubilla
Affiliation:
Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile (pubilla@usach.cl)
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Abstract

We study the existence and multiplicity of positive solutions of the non-homogeneous elliptic equation where N ≥ 3, the nonlinearity f is superlinear at both zero and infinity, q is a non-trivial, non-negative function, and a and b are non-negative parameters. A typical model is given by f(u) = up, with p ≥ 1.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 1 , February 2006 , pp. 139 - 147
Copyright
Copyright © Royal Society of Edinburgh 2006

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