Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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
Retrieve article in: PDF

References | Similar articles | Additional information

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


Similar Articles:

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 49F22

Retrieve articles in all Journals with MSC (1985): 49F22


Additional Information:

DOI: 10.1090/S0273-0979-1990-15890-2
PII: S 0273-0979(1990)15890-2


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google