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A sharp counterexample on the regularity of $\Phi $-minimizing hypersurfaces
Author(s):
Frank
Morgan
Journal:
Bull. Amer. Math. Soc.
22
(1990),
295-299.
MSC (1985):
Primary 49F22
MathSciNet review:
1017733
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References:
- [Aim S S] F. J. Almgren, Jr., R. Schoen and L. Simon, Regularity and singularity estimates on hypersurfaces minimizing elliptic variational integrals, Acta Math. 139 (1977), 217-265. MR 467476
- [F 1] H. Federer, Geometric measure theory, Springer-Verlag, New York, 1969. MR 257325
- [F 2] H. Federer, Real flat chains, cochains, and variational problems, Indiana Univ. Math. J. 24 (1974), 351-407. MR 348598
- [GS] M. E. Glicksman and N. B. Singh, Microstructural scaling laws for dentritically solidified aluminum alloys, Special Technical Pub. 890, Amer. Soc. for Testing and Materials, Philadelphia, 1986, pp. 44-61.
- [HL] R. Harvey and H. B. Lawson, Jr., Calibrated geometries, Acta Math. 148 (1982), 47-157. MR 666108
- [L] H. B. Lawson, Jr., The equivariant plateau problem and interior regularity, Trans. Amer. Math. Soc. 173 (1972), 231-247. MR 308905
- [M] F. Morgan, Geometric measure theory: A beginner's guide, Academic Press, New York, 1988. MR 933756
- [T] J. E. Taylor, Crystalline variational problems, Bull. Amer. Math. Soc. 84 (1978), 568-588. MR 493671
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15890-2
PII:
S 0273-0979(1990)15890-2
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