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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Twin solutions
to singular boundary value problems


Authors: Ravi P. Agarwal and Donal O'Regan
Journal: Proc. Amer. Math. Soc. 128 (2000), 2085-2094
MSC (1991): Primary 34B15
Published electronically: February 25, 2000
MathSciNet review: 1664297
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we establish the existence of two nonnegative solutions to singular $\,(n,p)\,$ and singular $\,(p,n-p)\,$ focal boundary value problems. Our nonlinearity $\,f(t,y)\,$ may be singular at $\,y=0$, $\,t=0\,$ and/or $\,t=1$.


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Additional Information

Ravi P. Agarwal
Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
Email: matravip@nus.edu.sg

Donal O'Regan
Affiliation: Department of Mathematics, National University of Ireland, Galway, Ireland
Email: donal.oregan@nuigalway.ie

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05320-X
PII: S 0002-9939(00)05320-X
Keywords: Multiple solutions, singular problems, Leray--Schauder alternative, Krasnoselskii's fixed point theorem, lower type inequalities
Received by editor(s): September 1, 1998
Published electronically: February 25, 2000
Communicated by: Hal L. Smith
Article copyright: © Copyright 2000 American Mathematical Society