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Book Review
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Book Information
Author(s):
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:
- [AA] W. K. Allard and F. Almgren, eds., Geometric measure theory and minimal surfaces, Proc. Sympos. Pure Math., vol. 44, Amer. Math. Soc. Providence, R. I., 1986. MR 840266
- [FH] H. Federer, Geometric measure theory, Springer-Verlag, Berlin, Heidelberg, New York, 1969. MR 257325
- [FF] H. Federer and W. H. Fleming, Normal and integral currents, Ann. of Math. 72 (1960), 458-520. MR 123260
- [NJ] J. C. C. Nitsche, Vorlesungen über Minimal Flächen, Springer-Verlag, Berlin, Heidelberg, New York, 1975. MR 448224
- [OR] R. Osserman, A survey of minimal surfaces, Dover Publications, Inc., 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
- [SL] L. Simon, Asymptotics for a class of non-linear evolution equations, with applications to geometric problems, Ann. of Math. 118 (1983), 525-571. MR 727703
- [W1] B. White, Existence of least area mappings of N-dimensional domains, Ann. of Math. 18 (1983), 179-185. MR 707165
- [W2] B. White, Mappings that minimize area in their homotopy classes, J. Differential Geom. 20 (1984), 433-446. MR 788287
Additional Information:
Reviewer(s):
F.
Almgren
Review Information:
Journal:
Bull. Amer. Math. Soc.
16
(1987),
167-171.
DOI:
10.1090/S0273-0979-1987-15502-9
PII:
S 0273-0979(1987)15502-9
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