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May/June 2009 Positive solutions for equations and systems with $p$-Laplace like operators
M. García-Huidobro, J. R. J. R. Ward, R. Manásevich
Adv. Differential Equations 14(5/6): 401-432 (May/June 2009).

Abstract

We prove the existence of positive solutions to boundary-value problems of the form \begin{align*} \begin{gathered} (\phi(u'))'+f(t,u)=0,\quad t\in(0,1)\\ \theta(u(0))=\beta \theta(u'(0)), \quad \theta(u(1))=-\delta \theta(u'(1)), \quad \beta,\delta\ge 0, \end{gathered} \end{align*} where $\phi$ and $\theta$ are odd increasing homeomorphisms of the real line. We also prove the existence of positive solutions to related systems. Our approach is via a priori estimates and Leray-Schauder degree.

Citation

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M. García-Huidobro. J. R. J. R. Ward. R. Manásevich. "Positive solutions for equations and systems with $p$-Laplace like operators." Adv. Differential Equations 14 (5/6) 401 - 432, May/June 2009.

Information

Published: May/June 2009
First available in Project Euclid: 18 December 2012

zbMATH: 1185.34028
MathSciNet: MR2502700

Subjects:
Primary: 34B15, 34B18

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.14 • No. 5/6 • May/June 2009
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