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Classes of infinite semipositone systems

Published online by Cambridge University Press:  08 July 2009

Eun Kyoung Lee ,
R. Shivaji  and
Jinglong Ye
Eun Kyoung Lee
Affiliation:
Department of Mathematics, Pusan National University, Busan 609735, Korea (lek915@pusan.ac.kr)
R. Shivaji
Affiliation:
Department of Mathematics and Statistics, Center for Computational Science, Mississippi State University, Mississippi State, MS 39762, USA (shivaji@ra.msstate.edu)
Jinglong Ye
Affiliation:
Department of Mathematics and Statistics, Center for Computational Science, Mississippi State University, Mississippi State, MS 39762, USA (jy79@msstate.edu)
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Abstract

We analyse the positive solutions to classes of p-Laplacian systems with Dirichlet boundary conditions, in particular, when the reaction terms tend to −∞ at the origin and satisfy a combined sublinear condition at ∞. We use the method of sub- and supersolutions to establish our results.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 4 , August 2009 , pp. 853 - 865
Copyright
Copyright © Royal Society of Edinburgh 2009

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