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Simple existence proofs for one-dimensional semi-positone problems

Published online by Cambridge University Press:  30 July 2007

David G. Costa  and
Hossein Tehrani
David G. Costa
Affiliation:
Department of Mathematical Sciences, University of Nevada, Las Vegas, 4505 Maryland Parkway, Las Vegas, NV 89154-4020, USA (costa@unlv.nevada.edu; tehranih@unlv.nevada.edu)
Hossein Tehrani
Affiliation:
Department of Mathematical Sciences, University of Nevada, Las Vegas, 4505 Maryland Parkway, Las Vegas, NV 89154-4020, USA (costa@unlv.nevada.edu; tehranih@unlv.nevada.edu)
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Abstract

In this paper we use phase-plane analysis to study one-dimensional p-Laplacian semi-positone problems under general sub-(p – 1)linear, asymptotically (p – 1)-linear, and super-(p – 1)linear conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 3 , June 2006 , pp. 473 - 483
Copyright
Copyright © Royal Society of Edinburgh 2006

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