Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

The existence of solutions to classical variational problems without assuming convexity


Author: V. Amdursky
Journal: Bull. Amer. Math. Soc. 78 (1972), 394-398
MSC (1970): Primary 49A05; Secondary 28A20
MathSciNet review: 0291925
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. L. È. Èl′sgol′c, Calculus of variations, Pergamon Press Ltd., London-Paris-Frankfurt, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1962. MR 0133032 (24 #A2868)
  • 2. C. Carathéodory, Calculus of variations and partial differential equations of the first order. Part II: Calculus of variations, Translated from the German by Robert B. Dean, Julius J. Brandstatter, translating editor, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1967. MR 0232264 (38 #590)
  • 3. O. Bolza, Vorlesungen über Variationsrechnung, Teubner, Leipzig and Berlin, 1909, Chap. 9.
  • 4. L. C. Young, Lectures on the calculus of variations and optimal control theory, Foreword by Wendell H. Fleming, W. B. Saunders Co., Philadelphia-London-Toronto, Ont., 1969. MR 0259704 (41 #4337)
  • 5. Calculus of variations, classical and modern, 1 Ciclo, Bressanone 10-18 giugno, vol. 1966, Edizioni Cremonese, Rome, 1967. MR 0212645 (35 #3515)
  • 6. C. Carathéodory, Über die starken maxima und minima bei einfachen Integralen, Math. Ann. 62 (1906), no. 4, 449–503 (German). MR 1511387, http://dx.doi.org/10.1007/BF01449816
  • 7. Lawrence M. Graves, Discontinuous Solutions in Space Problems of the Calculus of Variations, Amer. J. Math. 52 (1930), no. 1, 1–28. MR 1507915, http://dx.doi.org/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.

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 49A05, 28A20

Retrieve articles in all journals with MSC (1970): 49A05, 28A20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1972-12913-6
PII: S 0002-9904(1972)12913-6