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On extremals of composite variational problems


Author: David A. Sánchez
Journal: Proc. Amer. Math. Soc. 19 (1968), 555-559
MSC: Primary 49.10
DOI: https://doi.org/10.1090/S0002-9939-1968-0229107-0
MathSciNet review: 0229107
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  • [1] 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
  • [2] David A. Sánchez, Calculus of variations for integrals depending on a convolution product, Ann. Scuola Norm. Sup. Pisa (3) 18 (1964), 233–254. MR 0169101
  • [3] David A. Sánchez, On composite variational problems, SIAM J. Appl. Math. 14 (1966), 60–64. MR 0190815, https://doi.org/10.1137/0114005
  • [4] David A. Sánchez, Some existence theorems in the calculus of variations, Pacific J. Math. 19 (1966), 357–363. MR 0206775
  • [5] Leonida Tonelli, Sulle proprietà delle estremanti, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2) 3 (1934), no. 2, 213–237 (Italian). MR 1556728
  • [6] M. M. Vainberg, Variational methods for the study of nonlinear operators, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1964. With a chapter on Newton’s method by L. V. Kantorovich and G. P. Akilov. Translated and supplemented by Amiel Feinstein. MR 0176364

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DOI: https://doi.org/10.1090/S0002-9939-1968-0229107-0
Article copyright: © Copyright 1968 American Mathematical Society