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MULTIPLE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC PROBLEMS

Published online by Cambridge University Press:  27 January 2003

João Marcos do Ó  and
Pedro Ubilla
João Marcos do Ó
Affiliation:
Departamento de Matemática, Universidade Fededral da Paraíba, 58059-900 João Pessoa–PB, Brazil (jmbo@mat.ufpb.br)
Pedro Ubilla
Affiliation:
Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile (pubilla@lauca.usach.cl)
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Abstract

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We deal with a class of $p$-Laplacian Dirichlet boundary-value problems where the combined effects of ‘sublinear’ and ‘superlinear’ growths allow us to establish the existence of at least two positive solutions.

AMS 2000 Mathematics subject classification: Primary 35J25; 35J60. Secondary 35J65; 35J70

Keywords

$p$-Laplacianpositive solutionsfixed-point indexsuperlinear problems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 1 , February 2003 , pp. 159 - 168
Copyright
Copyright © Edinburgh Mathematical Society 2003