Asymptotic behaviour of minimal graphs over exterior domains

L. Simon

Annales de l'I.H.P. Analyse non linéaire (1987)

  • Volume: 4, Issue: 3, page 231-242
  • ISSN: 0294-1449

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Simon, L.. "Asymptotic behaviour of minimal graphs over exterior domains." Annales de l'I.H.P. Analyse non linéaire 4.3 (1987): 231-242. <http://eudml.org/doc/78130>.

@article{Simon1987,
author = {Simon, L.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {minimal surface equation; tangent cones},
language = {eng},
number = {3},
pages = {231-242},
publisher = {Gauthier-Villars},
title = {Asymptotic behaviour of minimal graphs over exterior domains},
url = {http://eudml.org/doc/78130},
volume = {4},
year = {1987},
}

TY - JOUR
AU - Simon, L.
TI - Asymptotic behaviour of minimal graphs over exterior domains
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1987
PB - Gauthier-Villars
VL - 4
IS - 3
SP - 231
EP - 242
LA - eng
KW - minimal surface equation; tangent cones
UR - http://eudml.org/doc/78130
ER -

References

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  1. [AA] F. Almgren, W. Allard, On the radial behaviour of minimal surfaces and the uniqueness of their tangent cones, Ann. of Math., t. 113, 1981, p. 215-265. [AW] W. Allard, First variation of a varifold, Annals of Math., t. 95, 1972, p. 417-491. Zbl0437.53045MR607893
  2. [BL] L. Bers, Isolated singularities of minimal surfaces, Annals of Math., t. 53, 1951, p. 364-386. Zbl0043.15901MR43335
  3. [BG] E. Bombieri, E. Giusti, Harnack's inequality for elliptic differential equations on minimal surfaces, Invent. Math., t. 15, 1972, p. 24-46. Zbl0227.35021MR308945
  4. [BDM] E. Bombieri, E. De Giorgi, M. Miranda, Una maggiorazione a priori relativa alle ipersuperfici minimali non-parametrische, Arch. Rat. Mech. Anal., t. 32, 1969, p. 255-267. Zbl0184.32803MR248647
  5. [FH] H. Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969. Zbl0176.00801MR257325
  6. [GT] D. Gilbarg, N. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, New York, 1977. Zbl0361.35003MR473443
  7. [G] E. Giusti, Minimal surfaces and functions of bounded variation, Birkhaüser, 1984. Zbl0545.49018MR775682
  8. [MM] M. Miranda, Superficie minime illimitate, Ann. Scuola Norm. Sup. Pisa, t. 4, 1977, p. 313-322. Zbl0352.49020MR500423
  9. [MS] J.H. Michael, L. Simon, Sobolev and mean-value inequalities on generalized submanifolds of R", Comm. Pure Appl. Math., t. 26, 1973, p. 361-379. Zbl0256.53006MR344978
  10. [MJ] J. Moser, On Harnack's Theorem for elliptic differential equations, Comm. Pure Appl. Math., t. 14, 1961, p. 577-591. Zbl0111.09302MR159138
  11. [SL1] L. Simon, Lectures on Geometric measure Theory, Proceedings of the Centre for MathematicalAnalysis, 1983, Australian National University. Zbl0546.49019MR756417
  12. [SL2] L. Simon, Survey Lectures on Minimal Submanifolds, Annals of Math. Studies, t. 103, 1983, p. 3-52. Zbl0541.53045MR795227
  13. [SL3] L. Simon, Isolated singularities of extrema of geometric variational problems (To appear in Springer Lecture Notes. C. I. M. E. Subseries). Zbl0583.49028MR821971
  14. [SL4] L. Simon, Remarks on curvature estimates for minimal hypersurfaces, Duke Math. J., t. 43, 1976, p. 545-553. Zbl0348.53003MR417995
  15. [SL 5] L. Simon, Equations of mean curvature type in 2 independent variables, Pacific J., t. 69, 1977, p. 245-268. Zbl0354.35040MR454854
  16. [SL 6] L. Simon, Interior gradient bounds for non-uniformly elliptic equations, Indiana Univ. Math. J., t. 25, 1976, p. 821-855. Zbl0346.35016MR412605
  17. [SJ] J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math., t. 88, (2), 1968. p. 62-105. Zbl0181.49702MR233295

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