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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Multiple positive solutions of singular problems by variational methods
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by Ravi P. Agarwal, Kanishka Perera and Donal O’Regan PDF
Proc. Amer. Math. Soc. 134 (2006), 817-824 Request permission

Abstract:

The purpose of this paper is to use an appropriate variational framework to obtain positive solutions of some singular boundary value problems.
References
  • Ravi P. Agarwal and Donal O’Regan, Singular differential and integral equations with applications, Kluwer Academic Publishers, Dordrecht, 2003. MR 2011127, DOI 10.1007/978-94-017-3004-4
  • Giovanna Cerami, An existence criterion for the critical points on unbounded manifolds, Istit. Lombardo Accad. Sci. Lett. Rend. A 112 (1978), no. 2, 332–336 (1979) (Italian). MR 581298
  • Paul H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conference Series in Mathematics, vol. 65, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1986. MR 845785, DOI 10.1090/cbms/065
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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
  • MR Author ID: 132880
  • Received by editor(s): July 22, 2004
  • Received by editor(s) in revised form: October 20, 2004
  • Published electronically: July 20, 2005
  • Communicated by: Carmen C. Chicone
  • © Copyright 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 817-824
  • MSC (2000): Primary 34B15, 34B16
  • DOI: https://doi.org/10.1090/S0002-9939-05-07992-X
  • MathSciNet review: 2180899