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Multiple positive solutions of singular problems by variational methods
Authors:
Ravi P. Agarwal, Kanishka Perera and Donal O'Regan
Journal:
Proc. Amer. Math. Soc. 134 (2006), 817-824
MSC (2000):
Primary 34B15, 34B16
Posted:
July 20, 2005
MathSciNet review:
2180899
Full-text PDF Free Access
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Abstract: The purpose of this paper is to use an appropriate variational framework to obtain positive solutions of some singular boundary value problems.
References
- 1.
Ravi P. Agarwal and Donal O'Regan.
Singular differential and integral equations with applications.
Kluwer Academic Publishers, Dordrecht, 2003. MR 2011127 (2004h:34002)
- 2.
Giovanna Cerami.
An existence criterion for the critical points on unbounded manifolds.
Istit. Lombardo Accad. Sci. Lett. Rend. A, 112(2):332-336 (1979), 1978. MR 0581298 (81k:58021)
- 3.
Paul H. Rabinowitz.
Minimax methods in critical point theory with applications to differential equations, volume 65 of CBMS Regional Conference Series in Mathematics.
Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1986. MR 0845785 (87j:58024)
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Additional Information
Ravi P. Agarwal
Affiliation:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901
Kanishka Perera
Affiliation:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901
Donal O'Regan
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-07992-X
PII:
S 0002-9939(05)07992-X
Keywords:
Singular,
boundary value problem,
variational,
positive,
multiple
Received by editor(s):
July 22, 2004
Received by editor(s) in revised form:
October 20, 2004
Posted:
July 20, 2005
Communicated by:
Carmen C. Chicone
Article copyright:
© Copyright 2005 American Mathematical Society
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