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The structure of singularities in area-related variational problems with constraints
Author(s):
Jean E.
Taylor
Journal:
Bull. Amer. Math. Soc.
81
(1975),
1093-1095.
MSC (1970):
Primary 49F22, 49F20, 53A10;
Secondary 53C65, 82A50
MathSciNet review:
0388223
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Additional information
References:
- [AF1] F. J. Almgren, Jr., Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints, Bull. Amer. Math. Soc. 81 (1975), 151-154. MR 361996
- [AF2] F. J. Almgren, Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints, Mem. Amer. Math. Soc. (to appear). MR 420406
- [AW] W. K. Allard, On the first variation of a varifold, Ann. of Math (2) 95 (1972), 417-491. MR 46 #6136. MR 307015
- [F] H. Federer, Geometric measure theory, Die Grundlehren der math. Wissenschaften, Band 153, Springer-Verlag, New York, 1969. MR 41 #1976. MR 257325
- [L] Ernest Lamarle, Sur la stabilité des systemes liquides en lames minces, Mém. Acad. Roy. Belg. 35 (1864).
- [R] E. R. Reifenberg, An epiperimentic inequality related to the analyticity of minimal surfaces, Ann. of Math. (2) 80 (1964), 1-14. MR 30 #1428. MR 171197
- [TJ1] Jean E. Taylor, The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces (preprint). MR 428181
- [TJ2] Jean E. Taylor, The structure of singularities in solutions to quadratic variational problems with constraints in R3 (preprint).
- [TJ3] Jean E. Taylor, Regularity of the singular sets of two-dimensional area-minimizing flat chains modulo 3 in R3, Invent. Math. 22 (1973), 119-159. MR 48 #12225. MR 333903
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13930-9
PII:
S 0002-9904(1975)13930-9
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