Jacobi fields and regularity of functions of least gradient

Harold R. Parks; William P. Ziemer

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)

  • Volume: 11, Issue: 4, page 505-527
  • ISSN: 0391-173X

How to cite

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Parks, Harold R., and Ziemer, William P.. "Jacobi fields and regularity of functions of least gradient." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.4 (1984): 505-527. <http://eudml.org/doc/83944>.

@article{Parks1984,
author = {Parks, Harold R., Ziemer, William P.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {regularity; functions of least gradient},
language = {eng},
number = {4},
pages = {505-527},
publisher = {Scuola normale superiore},
title = {Jacobi fields and regularity of functions of least gradient},
url = {http://eudml.org/doc/83944},
volume = {11},
year = {1984},
}

TY - JOUR
AU - Parks, Harold R.
AU - Ziemer, William P.
TI - Jacobi fields and regularity of functions of least gradient
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 4
SP - 505
EP - 527
LA - eng
KW - regularity; functions of least gradient
UR - http://eudml.org/doc/83944
ER -

References

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  1. [AW] W.K. Allard, On the first variation of a varifold: Boundary behavior, Ann. of Math. (2), 101 (1975), pp. 418-446. Zbl0319.49026MR397520
  2. [BDG] E. Bombieri - E. Degiorgi - E. Giusti, Minimal cones and the Bernstein problem, Invent. Math., 7 (1969), pp. 243-268. Zbl0183.25901MR250205
  3. [FH] H. Federer, Geometric measure theory, Springer-Verlag, New York, 1969. Zbl0176.00801MR257325
  4. [GT] D. Gilbarg - N. Trudinger, Elliptic partial differential equations of the second order, Springer-Verlag, New York, 1977. Zbl0361.35003MR473443
  5. [MM] M. Miranda, Un teorema di esistenza e unicità per il problema dell'area minima in n variabili, Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. III, 19, (1965), pp. 233-249. Zbl0137.08201MR181918
  6. [PH1] H. Parks, Explicit determination of area minimizing hypersurfaces, Duke Math. J., 44 (1977), pp. 519-534. Zbl0385.49026MR458304
  7. [PH2] H. Parks, Explicit determination of area minimizing hypersurfaces, II, preprint. MR831890
  8. [RW] W. Rudin, Principles of mathematical analysis, 2nd ed., McGraw-Hill, 1964. Zbl0148.02903MR166310
  9. [SSY] R. Schoen - L. Simon - S.T. Yau, Curvature estimates for minimal hypersurfaces, Acta Math., 134 (1975), pp. 275-288. Zbl0323.53039MR423263
  10. [SL] L. Simon, Remarks on curvature estimates for minimal hypersurfaces, Duke Math. J., 43 (1976), pp. 545-553. Zbl0348.53003MR417995
  11. [WB] B. White, Ph. D. Thesis, Princeton University. 

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