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ArticleOriginal scientific text

Title

On a variational property of integral functionals and related conjectures

Authors 1

Affiliations

  1. Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

Abstract

The aim of this paper is to give the proofs of those results that in [4] were only announced, and, at the same time, to propose some possible developments, indicating some of the most significant open problems.

Bibliography

  1. J.-P. Aubin and I. Ekeland, Applied Nonlinear Analysis, John Wiley & Sons, 1984.
  2. J. Diestel and J. J. Uhl, Jr., Vector measures, Math. Surveys 15, Amer. Math. Soc., 1977.
  3. B. Ricceri, Structure, approximation et dépendance continue des solutions de certaines équations non linéaires, C. R. Acad. Sci. Paris, Série I, 305 (1987), 45-47.
  4. B. Ricceri, A variational property of integral functionals on Lp-spaces of vector-valued functions, C. R. Acad. Sci. Paris, Série I, 318 (1994), 337-342.
Banach Center Publications
1996/35/1
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Pages:
237-242
Main language of publication
English
Published
1996
Exact and natural sciences