On the non-existence of energy stable minimal cones

Ulrich Dierkes

Annales de l'I.H.P. Analyse non linéaire (1990)

  • Volume: 7, Issue: 6, page 589-601
  • ISSN: 0294-1449

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Dierkes, Ulrich. "On the non-existence of energy stable minimal cones." Annales de l'I.H.P. Analyse non linéaire 7.6 (1990): 589-601. <http://eudml.org/doc/78240>.

@article{Dierkes1990,
author = {Dierkes, Ulrich},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {energy stable minimal cones},
language = {eng},
number = {6},
pages = {589-601},
publisher = {Gauthier-Villars},
title = {On the non-existence of energy stable minimal cones},
url = {http://eudml.org/doc/78240},
volume = {7},
year = {1990},
}

TY - JOUR
AU - Dierkes, Ulrich
TI - On the non-existence of energy stable minimal cones
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1990
PB - Gauthier-Villars
VL - 7
IS - 6
SP - 589
EP - 601
LA - eng
KW - energy stable minimal cones
UR - http://eudml.org/doc/78240
ER -

References

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  1. [BDG] E., Bombieri, E. De Giorgi, and E. Giusti, Minimal Cones and the Bernstein Problem, Invent. Math., Vol. 7, 1969, pp. 243-268. Zbl0183.25901MR250205
  2. [D1] U. Dierkes, Minimal Hypercones and C0, 1/2-Minimizers for a Singular Variational Problem, Indiana Univ. Math. J., Vol. 37, No. 4, 1988. Zbl0671.53044MR982832
  3. [D2] U. Dierkes, A Classification of Minimal Cones in Rn × R+ and a Counter-Example to Interior Regularity of Energy Minimizing Functions, Manuscripta Math., Vol. 63, 1989, pp. 173-192. Zbl0667.49030MR980571
  4. [FH] H. Federer, Geometric Measure Theory, Springer Berlin-Heidelberg-New York, 1969, Grundlehren, 153. Zbl0176.00801MR257325
  5. [SSY] R. Schoen, L. Simon and S.T. Yau, Curvature Estimates for Minimal Hypersurfaces, Acta Math., Vol. 134, 1975, pp. 276-288. Zbl0323.53039MR423263
  6. [SL] L. Simon, Lectures on Geometric Measure Theory, Proc. of the Centre for Math. Analysis, Australian Nat. Univ., Vol. 3, 1983. Zbl0546.49019MR756417
  7. [SJ] J. Simons, Minimal Varieties in Riemannian Manifolds, Ann. Math., Vol. 88, 1968, pp. 62-105. Zbl0181.49702MR233295

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