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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A sufficiency theorem for the Plateau problem
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by J. W. Lawson PDF
Trans. Amer. Math. Soc. 64 (1948), 192-204 Request permission
References
    L. Bianchi, Vorlesungen über differentialgeometrie, Leipzig, Teubner, 1899; 2d ed., 1910, p. 422. G. A. Bliss, Calculus of variations, Carus Mathematical Monographs, 1925. —, Calculus of variations. Multiple integrals, Mimeographed notes, University of Chicago, 1939. A. B. Carson, An analogue of Green’s theorem for multiple integral problems in the calculus of variations, Thesis, Contributions to the Calculus of Variations, 1938-1941, The University of Chicago Press. A. R. Forsyth, The range of minimal surfaces providing a minimum area, Annali di Matematica (3) vol. 21 (1913) pp. 121-142. A. W. Landers, Jr., Invariant multiple integrals in the calculus of variations, Thesis, Contributions to the Calculus of Variations, 1938-1941, The University of Chicago Press. J. W. Lawson, Minima of integrals over hypersurfaces, Thesis, Contributions to the Calculus of Variations, 1942-1946, The University of Chicago Press. A. W. Raab, Jacobi’s condition for multiple integral problems of the calculus of variations, Thesis, Contributions to the Calculus of Variations, 1931-1932, The University of Chicago Press. T. Radó, The Plateau problem, Ergebnisse der Mathematik, vol. 2, Berlin, Springer, 1933, pp. 81-190.
  • William T. Reid, The Jacobi condition for the double integral problem of the calculus of variations, Duke Math. J. 5 (1939), 856–870. MR 466
  • H. A. Schwarz, Gesammelte mathemalische Abhandlungen, vol. 1, Berlin, Springer, 1890, pp. 223-269.
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Additional Information
  • © Copyright 1948 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 64 (1948), 192-204
  • MSC: Primary 49.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1948-0026258-2
  • MathSciNet review: 0026258