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A note on a problem by Ricceri on the Ambrosetti-Rabinowitz condition
Author(s):
Giovanni
Anello
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1875-1879.
MSC (2000):
Primary 47J30
Posted:
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:
-
- 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
 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:
10.1090/S0002-9939-07-08674-1
PII:
S 0002-9939(07)08674-1
Received by editor(s):
December 5, 2005
Received by editor(s) in revised form:
February 19, 2006
Posted:
January 8, 2007
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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