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A note on a problem by Ricceri on the Ambrosetti-Rabinowitz condition


Author: Giovanni Anello
Journal: Proc. Amer. Math. Soc. 135 (2007), 1875-1879
MSC (2000): Primary 47J30
DOI: https://doi.org/10.1090/S0002-9939-07-08674-1
Published electronically: January 8, 2007
MathSciNet review: 2286099
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Abstract: In this note we give an answer to Ricceri's open problem involving the Ambrosetti-Rabinowitz superlinear condition.


References [Enhancements On Off] (What's this?)

  • 1. A. Ambrosetti, P. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973), 349-381.MR 0370183 (51:6412)
  • 2. B. Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000), 401-410.MR 1735837 (2001h:47114)
  • 3. B. Ricceri, Some research perspectives in nonlinear functional analysis, Seminar on fixed point theory, Cluj-Napoca 3 (2002), 99-110.MR 1929750 (2003g:47107)
  • 4. B. Ricceri, On a classical existence theorem for nonlinear elliptic equations, in ``Esperimental, constructive and nonlinar analysis", M. Th$ \acute{e}$ra ed., 275-278, CMS Conf. Proc. 27, Canad. Math. Soc. (2000).MR 1777629 (2001h:35068)

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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

DOI: https://doi.org/10.1090/S0002-9939-07-08674-1
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
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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