On calibrations for Lawson’s cones

Andrea Davini

Rendiconti del Seminario Matematico della Università di Padova (2004)

  • Volume: 111, page 55-70
  • ISSN: 0041-8994

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Davini, Andrea. "On calibrations for Lawson’s cones." Rendiconti del Seminario Matematico della Università di Padova 111 (2004): 55-70. <http://eudml.org/doc/108633>.

@article{Davini2004,
author = {Davini, Andrea},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {55-70},
publisher = {Seminario Matematico of the University of Padua},
title = {On calibrations for Lawson’s cones},
url = {http://eudml.org/doc/108633},
volume = {111},
year = {2004},
}

TY - JOUR
AU - Davini, Andrea
TI - On calibrations for Lawson’s cones
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2004
PB - Seminario Matematico of the University of Padua
VL - 111
SP - 55
EP - 70
LA - eng
UR - http://eudml.org/doc/108633
ER -

References

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  2. [2] G. ALBERTI - G. DAL MASO - G. BOUCHITTÉ, The calibration method for the Munford-Shah functional, Calc. Var. Partial Differential Equations, 16, No. 3 (2003), pp. 299-333. Zbl1015.49008MR2001706
  3. [3] D. BENARROS - M. MIRANDA, Lawson cones and the Bernstein theorem, Advances in geometric analysis and continuum mechanics (Stanford, CA, 1993), pp. 44-56. Zbl0860.53003MR1356726
  4. [4] E. BOMBIERI - E. DE GIORGI - E. GIUSTI, Minimal cones and the Bernstein problem, Invent. Math., 7 (1969), pp. 243-268. Zbl0183.25901MR250205
  5. [5] P. CONCUS - M. MIRANDA, MACSYMA and minimal surfaces, Proc. of Symposia in Pure Mathematics, by the Amer. Math. Soc., 44(1986), pp. 163-169. MR840272
  6. [6] L. C. EVANS - R. F. GARIEPY, Measure Theory and Fine Properties of Functions, CRC Press, New York, 1992. Zbl0804.28001MR1158660
  7. [7] G. LAWLOR - F. MORGAN, Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms, Pac. J. Math., 166, No. 1 (1994), pp. 55-83. Zbl0830.49028MR1306034
  8. [8] H. B. LAWSON JR., The equivariant Plateau problem and interior regularity, Trans. Amer. Math. Soc., 173 (1972), pp. 231-249. Zbl0279.49043MR308905
  9. [9] U. MASSARI - M. MIRANDA, A remark on minimal cones, in Boll. Un. Mat. Ital. (6), 2-A (1983), pp. 123-125. Zbl0518.49030MR694754
  10. [10] M. MIRANDA, Grafici minimi completi, Ann. Univ. Ferrara, 23 (1977), pp. 269-272. Zbl0367.53001MR467551
  11. [11] F. MORGAN, Calibrations and new singularities in area-minimizing surfaces: A survey, Variational methods, Proc. Conf. (Paris/Fr. 1988), Prog. Nonlinear Differ. Equ. Appl., 4 (1990), pp. 329-342. Zbl0721.53058MR1205164
  12. [12] P. SIMOES, A class of minimal cones in Rn , nF8, that minimize area, Ph. D. Thesis, University of California, (Berkeley, CA, 1973). 
  13. [13] J. SIMONS, Minimal varieties in Riemannian manifolds, Ann. Math., 88 (1968), pp. 62-105. Zbl0181.49702MR233295

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