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Existence and regularity of solutions to elliptic calculus of variations problems among surfaces of varying topological type and singularity structure
Author(s):
F. J.
Almgren Jr.
Journal:
Bull. Amer. Math. Soc.
73
(1967),
576-580.
MathSciNet review:
0212638
Retrieve article in:
PDF
References |
Additional information
References:
- A1. F. J. Almgren Jr., The theory of varifolds. A variational calculus in the large for the k dimensional area integrand, (mimeographed), 1965.
- A2. F. J. Almgren Jr., Plateau's problem. An invitation to varifold geometry, W. A. Benjamin, Inc., New York, 1966.
- D. E. De Giorgi, Frontiere orientate di misura minima, Sem. di Mat. de Scuola Norm. Sup. Pisa, 1960-1961, 1-56.
- FF. H. Federer, and W. H. Fleming, Normal and integral currents, Ann. of Math. 72 (1960), 458-520. MR 123260
- F. W. H. Fleming, Flat chains over a finite coefficient group, Trans. Amer. Math. Soc. 121 (1966), 160-186. MR 185084
- M. M. Miranda, Sul minimo dell'integrale del gradiente di una funzione, Ann. Scuola Norm. Sup. Pisa (3) 19 (1965), 626-665. MR 188839
- MO. C. B. Morrey, Multiple integrals in the calculus of variationst, Springer-Verlag, New York, 1966. MR 202511
- R1. E. R. Reifenberg, Solution of the Plateau problem for m-dimensional surfaces of varying topological type, Acta Math. 104 (1960), 1-92. MR 114145
- R2. E. R. Reifenberg, An epiperimetric inequality related to the analyticity of minimal surfaces, Ann. of Math. 80 (1964), 1-14. MR 171197
- R3. E. R. Reifenberg, On the analyticity of minimal surfaces, Ann. of Math. 80 (1964), 15-21. MR 171198
Additional Information:
DOI:
10.1090/S0002-9904-1967-11756-7
PII:
S 0002-9904(1967)11756-7
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