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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: Enrico Giusti
Title: Minimal surfaces and functions of bounded variation
Additional book information: Monographs in Mathematics, Vol. 80, Birkhäuser, Boston-Basel-Stuttgart, 1984, xii + 240 pp., $39.95. ISBN 0-8176-3153-4.

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

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  • [NJ] J. C. C. Nitsche, Vorlesungen über Minimal Flächen, Springer-Verlag, Berlin, Heidelberg, New York, 1975. MR 448224
  • Robert Osserman, A survey of minimal surfaces, 2nd ed., Dover Publications, Inc., New York, 1986. MR 852409
  • [RE] E. R. Reifenberg, Solution of the Plateau Problem for m-dimensional surfaces of varying topological type, Acta Mathematica 104 (1960), 1-92. MR 114145
  • Leon Simon, Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems, Ann. of Math. (2) 118 (1983), no. 3, 525–571. MR 727703,
  • Brian White, Existence of least-area mappings of 𝑁-dimensional domains, Ann. of Math. (2) 118 (1983), no. 1, 179–185. MR 707165,
  • Brian White, Mappings that minimize area in their homotopy classes, J. Differential Geom. 20 (1984), no. 2, 433–446. MR 788287

Review Information:

Reviewer: F. Almgren
Journal: Bull. Amer. Math. Soc. 16 (1987), 167-171
American Mathematical Society