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
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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
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