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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The existence of solutions to classical variational problems without assuming convexity
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by V. Amdursky PDF
Bull. Amer. Math. Soc. 78 (1972), 394-398
References
  • L. È. Èl′sgol′c, Calculus of variations, Pergamon Press, Ltd., London-Paris-Frankfurt, Addison-Wesley Publishing Company, Inc., Reading, Mass., 1962. MR 0133032
  • C. Carathéodory, Calculus of variations and partial differential equations of the first order. Part II: Calculus of variations, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1967. Translated from the German by Robert B. Dean, Julius J. Brandstatter, translating editor. MR 0232264
  • 3. O. Bolza, Vorlesungen über Variationsrechnung, Teubner, Leipzig and Berlin, 1909, Chap. 9.
  • L. C. Young, Lectures on the calculus of variations and optimal control theory, W. B. Saunders Co., Philadelphia-London-Toronto, Ont., 1969. Foreword by Wendell H. Fleming. MR 0259704
  • Calculus of variations, classical and modern, Centro Internazionale Matematico Estivo (C.I.M.E.), Edizioni Cremonese, Rome, 1967. 1$^\circ$ Ciclo, Bressanone 10-18 giugno, 1966. MR 0212645
  • C. Carathéodory, Über die starken maxima und minima bei einfachen Integralen, Math. Ann. 62 (1906), no. 4, 449–503 (German). MR 1511387, DOI 10.1007/BF01449816
  • Lawrence M. Graves, Discontinuous Solutions in Space Problems of the Calculus of Variations, Amer. J. Math. 52 (1930), no. 1, 1–28. MR 1507915, DOI 10.2307/2370644
  • 8. L. M. Graves, Discontinuous solutions in the calculus of variations, Bull. Amer. Math. Soc. 36 (1930), 831-846. 9. L. Tonelli, Sull’esistenza del minimo in problemi di calcolo delle variazioni, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat. 1 (1931), 89-100.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 78 (1972), 394-398
  • MSC (1970): Primary 49A05; Secondary 28A20
  • DOI: https://doi.org/10.1090/S0002-9904-1972-12913-6
  • MathSciNet review: 0291925