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On a Class of Functionals Whose Local Minima are Global

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Abstract

In this note we introduce a suitable class of functionals, including the class of integral functionals, and prove that any (strict) local minimum of a functional of this class, defined on a decomposable space, is a (strict) global minimum. So, the recent result obtained by Giner in [1] is specified and extended.

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References

  • Giner, E.: Local minimizers of integral functionals are global minimizers, Proc. Amer. Math. Soc. (3), 123 (1995), 755–757.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Elettronica e Matematica Applicata, Università di Reggio Calabria, via E. Cuzzocrea 48, 89128, Reggio Calabria, Italy

    Gabriele Bonanno

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  1. Gabriele Bonanno
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Bonanno, G. On a Class of Functionals Whose Local Minima are Global. Journal of Global Optimization 12, 101–104 (1998). https://doi.org/10.1023/A:1008234910469

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  • DOI: https://doi.org/10.1023/A:1008234910469

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