Bulletin of the American Mathematical Society

MathSciNet review: 1567605
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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.

William K. Allard and Frederick J. Almgren Jr. (eds.), Geometric measure theory and the calculus of variations, Proceedings of Symposia in Pure Mathematics, vol. 44, American Mathematical Society, Providence, RI, 1986. MR 840266, DOI 10.1090/pspum/044

Herbert Federer, Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag New York, Inc., New York, 1969. MR 0257325

Herbert Federer and Wendell H. Fleming, Normal and integral currents, Ann. of Math. (2) 72 (1960), 458–520. MR 123260, DOI 10.2307/1970227

Johannes C. C. Nitsche, Vorlesungen über Minimalflächen, Die Grundlehren der mathematischen Wissenschaften, Band 199, Springer-Verlag, Berlin-New York, 1975 (German). MR 0448224

Robert Osserman, A survey of minimal surfaces, 2nd ed., Dover Publications, Inc., New York, 1986. MR 852409

E. R. Reifenberg, Solution of the Plateau Problem for $m$-dimensional surfaces of varying topological type, Acta Math. 104 (1960), 1–92. MR 114145, DOI 10.1007/BF02547186

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, DOI 10.2307/2006981

Brian White, Existence of least-area mappings of $N$-dimensional domains, Ann. of Math. (2) 118 (1983), no. 1, 179–185. MR 707165, DOI 10.2307/2006958

Brian White, Mappings that minimize area in their homotopy classes, J. Differential Geom. 20 (1984), no. 2, 433–446. MR 788287

[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 0840266




[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