Un principe de concentration-compacité pour les suites de surfaces Riemanniennes

M. Troyanov

Annales de l'I.H.P. Analyse non linéaire (1991)

  • Volume: 8, Issue: 5, page 419-441
  • ISSN: 0294-1449

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Troyanov, M.. "Un principe de concentration-compacité pour les suites de surfaces Riemanniennes." Annales de l'I.H.P. Analyse non linéaire 8.5 (1991): 419-441. <http://eudml.org/doc/78259>.

@article{Troyanov1991,
author = {Troyanov, M.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {sequence of metrics; level of concentration; Schwarz' lemma},
language = {fre},
number = {5},
pages = {419-441},
publisher = {Gauthier-Villars},
title = {Un principe de concentration-compacité pour les suites de surfaces Riemanniennes},
url = {http://eudml.org/doc/78259},
volume = {8},
year = {1991},
}

TY - JOUR
AU - Troyanov, M.
TI - Un principe de concentration-compacité pour les suites de surfaces Riemanniennes
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1991
PB - Gauthier-Villars
VL - 8
IS - 5
SP - 419
EP - 441
LA - fre
KW - sequence of metrics; level of concentration; Schwarz' lemma
UR - http://eudml.org/doc/78259
ER -

References

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  8. [GT] D. Gilbarg et N.S. Trudinger, Elliptic Partial Differential Equation of Second Order, Springer Verlag, New York, 1977. Zbl0361.35003MR473443
  9. [GW] R. Greene et H.H. Wu, LipschitzConvergence of Riemannian Manifolds, Pacific J. Math., vol. 131, 1988, p. 119-141. Zbl0646.53038MR917868
  10. [H1] A. Huber, On the Isoperimetric Inequality on Surfaces of Variable Gaussian Curvature, Ann. Math., vol. 60, 1954, p. 237-247. Zbl0056.15801MR65946
  11. [H2] A. Huber, Zum potentialtheoritischen Aspekt der Alexandrowschen Flächentheorie, Comm. Math. Helv., vol. 34, 1960, p. 99-126. Zbl0105.16104MR115147
  12. [L] P.L. Lions, The Concentration-Compactness Principle in the Calculus of Variations, Riv. mat. Ibero-americana, vol. 1, 1985, p. 145-201. Zbl0704.49005MR834360
  13. [P] S. Peters, Convergence of Riemannian Manifolds, Compositio Math., vol. 62, 1987, p. 3-7. Zbl0618.53036MR892147
  14. [R1] Y. Rechetnjack, Coordonnées isothermes sur les variétés à courbure bornée 1, (en russe), Sib. Math. J., vol. 1, 1960, p. 88-116. 
  15. [R2] Y. Rechetnjack, Coordonnées isothermes sur les variétés à courbure bornée 2, (en russe), Sib. Math. J., vol. 1, 1960, p. 248-276. 
  16. [SU] J. Sacks et K. Uhlenbeck, The Existence of Minimal Immersions of 2-Spheres, Ann. Math., vol. 113, 1981, p. 1-24. Zbl0462.58014MR604040
  17. [U] K. Uhlenbeck, Connections with Lp Bounds on Curvarture, Commun. Math. Phys., vol. 83, 1982, p. 31-42. Zbl0499.58019MR648356

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