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Existence and L∞ estimates for a class of singular ordinary differential equations

Published online by Cambridge University Press:  17 April 2009

J. M. Gomes
J. M. Gomes
Affiliation:
CMAF-Faculdade de Ciências da Universidade de Lisboa, Avenida Professor Gama Pinto, 2, 1649–003 Lisboa, Portugal, e-mail: zemaria@cii.fc.ul.pt
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We prove the existence of a positive solution to an equation of the form (1/Φ(t)) (Φ(t)u′(t))′ = f(u(t)) with Dirichlet conditions where the friction term Φ′/Φ is increasing. Our method combines variational and topological arguments and provides an L∞ estimate of the solution.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 429 - 440
Copyright
Copyright © Australian Mathematical Society 2004

References

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