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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Boundary regularity and embedded solutions for the oriented Plateau problem

Author(s): Robert Hardt; Leon Simon
Journal: Bull. Amer. Math. Soc. 1 (1979), 263-265.
MSC (1970): Primary 49F22, 49F10; Secondary 49F20, 53A10
MathSciNet review: 513755
Retrieve article in: PDF

References | Similar articles | Additional information

References:

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W. K. Allard, On the first variation of a varifold: boundary behavior, Ann. of Math. (2) 101 (1975), 418-446. MR 397520
2.
E. Bombieri, E. DeGiorgi, and E. Giusti, Minimal cones and the Bernstein problem, Invent. Math. 7 (1969), 243-268. MR 250205
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R. Courant, Dirichlet's principle, conformal mapping, and minimal surfaces, Intersciences, New York, 1950. MR 36317
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H. Federer, Geometric measure theory, Springer-Verlag, Berlin and New York, 1969. MR 257325
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H. Federer, The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension, Bull. Amer. Math. Soc. 76 (1970), 767-771. MR 260981
6.
R. Finn and D. Gilbarg, Asymptotic behavior and uniqueness of plane subsonic flows, Comm. Pure Appl. Math. 10 (1957), 23-63. MR 86556
7.
R. Hardt and L. Simon, Boundary regularity and embedded solutions for the oriented Plateau problem, Ann. of Math. (to appear). MR 513755
8.
C. B. Morrey, Jr., Multiple integrals in the calculus of variations, Springer-Verlag, Berlin and New York, 1969.

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Additional Information:

DOI: 10.1090/S0273-0979-1979-14581-6
PII: S 0273-0979(1979)14581-6




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