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The exact multiplicity of positive solutions for a class of two-point boundary-value problems with the one-dimensional p-Laplacian

Published online by Cambridge University Press:  30 January 2014

Inbo Sim  and
Satoshi Tanaka
Inbo Sim
Affiliation:
Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea ([email protected])
Satoshi Tanaka
Affiliation:
Department of Applied Mathematics, Faculty of Science, Okayama University of Science, Okayama 700-0005, Japan ([email protected])
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Abstract

Employing the Kolodner–Coffman method, we show the exact multiplicity of positive solutions for the one-dimensional p-Laplacian that is subject to a Dirichlet boundary condition with a positive convex nonlinearity and an indefinite weight function.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 1 , February 2014 , pp. 187 - 203
Copyright
Copyright © Royal Society of Edinburgh 2014 

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