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Multiple positive solutions of singular problems by variational methods

Author(s): Ravi P. Agarwal; Kanishka Perera; Donal O'Regan
Journal: Proc. Amer. Math. Soc. 134 (2006), 817-824.
MSC (2000): Primary 34B15, 34B16
Posted: July 20, 2005
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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: 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
Copyright of article: Copyright 2005, American Mathematical Society

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