Surfaces à courbure moyenne constante et inégalité de Wente

Frédéric Hélein

Séminaire de théorie spectrale et géométrie (1996-1997)

  • Volume: 15, page 43-52
  • ISSN: 1624-5458

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Hélein, Frédéric. "Surfaces à courbure moyenne constante et inégalité de Wente." Séminaire de théorie spectrale et géométrie 15 (1996-1997): 43-52. <http://eudml.org/doc/114413>.

@article{Hélein1996-1997,
author = {Hélein, Frédéric},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Plateau problem; existence; conformal deformation; regularity},
language = {fre},
pages = {43-52},
publisher = {Institut Fourier},
title = {Surfaces à courbure moyenne constante et inégalité de Wente},
url = {http://eudml.org/doc/114413},
volume = {15},
year = {1996-1997},
}

TY - JOUR
AU - Hélein, Frédéric
TI - Surfaces à courbure moyenne constante et inégalité de Wente
JO - Séminaire de théorie spectrale et géométrie
PY - 1996-1997
PB - Institut Fourier
VL - 15
SP - 43
EP - 52
LA - fre
KW - Plateau problem; existence; conformal deformation; regularity
UR - http://eudml.org/doc/114413
ER -

References

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  1. [B ] S. BARAKET. - Estimation of the best constant involving the L∞ norm in Wente's inequality, Annales de l'Université Paul Sabatier. Zbl0869.35032
  2. [BC] H. BREZIS, J.-M. CORON. - Multiple solutions of H-systems and Rellich's conjecture, Comm. Pure Appl. Math. 37 ( 1984), 149-187. Zbl0537.49022MR733715
  3. [BG] F. BETHUEL, J.-M. GHIDAGLIA. - Improved regularity of elliptic equations involving Jacobians and applications, J. Math. Pures Appl. 72 ( 1993), 441-475. Zbl0831.35025MR1239099
  4. [C] J.-M. CORON. - Topologie et cas limite des injections de Sobolev, C. R. Acad. Sc. Paris 299 ( 1984), 209-212. Zbl0569.35032MR762722
  5. [D] J. DOUGLAS. - Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 ( 1931), 263-321. Zbl0001.14102MR1501590
  6. [Ge] Y. GE. - Estimation of the best constant involving the L2 norm in Wente's inequality et Wente's inequality and compact H-surface into Euclidean space, à paraître dans COCV. Zbl0903.53003
  7. [Hé] F. HÉLEIN. - Applications harmoniques, lois de conservation et repères mobiles, Diderot éditeur, Paris, 1996. Zbl0920.58022
  8. [Hi] S. HILDEBRANDT. - On the Plateau problem for the surfaces of constant mean curvature, Comm. Pur Appl. Math. 23 ( 1970), 97-114. Zbl0181.38703MR256276
  9. [LU] O. LADYZHENSKAYA, N. URAL'CEVA. - Équations aux dérivées partielles de type elliptique, Dunod, Paris, 1969. Zbl0164.13001
  10. [R] T. RADÓ. - On Plateau's problem, Ann. of math. 31 ( 1930), 457-469. Zbl56.0437.02MR1502955JFM56.0437.02
  11. [T] P. TOPPING. - The optimal constant in Wente's L∞ estimate, à paraître dans Comm. Helv. Math. Zbl0892.35030
  12. [W1] H. WENTE. - An existence theorem for surfaces of constant mean curvature, J. Math. Anal. Appl. 26 ( 1969), 318=344; Zbl0181.11501MR243467
  13. H. WENTE. Large solutions to the volume constraint Plateau problem, Arch. rat. Mech. Anal. 75 ( 1980), 59-77. Zbl0473.49029MR592104
  14. [W2] H. WENTE. - Counter-example to a conjecture of H. Hopf, Pacific J. Math. 121 ( 1986), 193-243. Zbl0586.53003

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