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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 necessary condition in the calculus of variations
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by Edward Silverman PDF
Proc. Amer. Math. Soc. 37 (1973), 462-464 Request permission

Abstract:

A necessary condition that an extremal be a relative minimum is derived. The condition includes and may be stronger than the Legendre-Hadamard condition.
References
    J. Hadamard, Leçons sur la propagation des ondes et les équations de l’hydrodynamique, Hermann, Paris, 1903.
  • Charles B. Morrey Jr., Multiple integrals in the calculus of variations, Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer-Verlag New York, Inc., New York, 1966. MR 0202511
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 37 (1973), 462-464
  • MSC: Primary 49B25
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0319009-5
  • MathSciNet review: 0319009