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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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A note on a problem by Ricceri on the Ambrosetti-Rabinowitz condition
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by Giovanni Anello PDF
Proc. Amer. Math. Soc. 135 (2007), 1875-1879 Request permission

Abstract:

In this note we give an answer to Ricceri’s open problem involving the Ambrosetti-Rabinowitz superlinear condition.
References
  • Antonio Ambrosetti and Paul H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Functional Analysis 14 (1973), 349–381. MR 0370183, DOI 10.1016/0022-1236(73)90051-7
  • Biagio Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000), no. 1-2, 401–410. Fixed point theory with applications in nonlinear analysis. MR 1735837, DOI 10.1016/S0377-0427(99)00269-1
  • Biagio Ricceri, Some research perspectives in nonlinear functional analysis, Semin. Fixed Point Theory Cluj-Napoca 3 (2002), 99–109. International Conference on Nonlinear Operators, Differential Equations and Applications (Cluj-Napoca, 2001). MR 1929750
  • Biagio Ricceri, On a classical existence theorem for nonlinear elliptic equations, Constructive, experimental, and nonlinear analysis (Limoges, 1999) CRC Math. Model. Ser., vol. 27, CRC, Boca Raton, FL, 2000, pp. 275–278. MR 1777629
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Additional Information
  • Giovanni Anello
  • Affiliation: Department of Mathematics, University of Messina, 98166 S. Agata, Messina, Italy
  • Email: anello@dipmat.unime.it
  • Received by editor(s): December 5, 2005
  • Received by editor(s) in revised form: February 19, 2006
  • Published electronically: January 8, 2007
  • Communicated by: David S. Tartakoff
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1875-1879
  • MSC (2000): Primary 47J30
  • DOI: https://doi.org/10.1090/S0002-9939-07-08674-1
  • MathSciNet review: 2286099