Inégalité de Wente et ses applications aux H -surfaces

Yuxin Ge

Séminaire de théorie spectrale et géométrie (1997-1998)

  • Volume: 16, page 211-216
  • ISSN: 1624-5458

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Ge, Yuxin. "Inégalité de Wente et ses applications aux $H$-surfaces." Séminaire de théorie spectrale et géométrie 16 (1997-1998): 211-216. <http://eudml.org/doc/114421>.

@article{Ge1997-1998,
author = {Ge, Yuxin},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {topological method; critical points; symmetric functions},
language = {fre},
pages = {211-216},
publisher = {Institut Fourier},
title = {Inégalité de Wente et ses applications aux $H$-surfaces},
url = {http://eudml.org/doc/114421},
volume = {16},
year = {1997-1998},
}

TY - JOUR
AU - Ge, Yuxin
TI - Inégalité de Wente et ses applications aux $H$-surfaces
JO - Séminaire de théorie spectrale et géométrie
PY - 1997-1998
PB - Institut Fourier
VL - 16
SP - 211
EP - 216
LA - fre
KW - topological method; critical points; symmetric functions
UR - http://eudml.org/doc/114421
ER -

References

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  1. [1] S. BARAKET, Estimations of the best constant involving the L∞ norm in Wente's inequality, à paraître dans Annales de l'Université Paul Satatier. Zbl0869.35032
  2. [2] H. BREZIS et J.M. CORON, Multiple solutions of H-systemes and Rellichs conjecture, Comm. Pure. Appl. Math, 37 ( 1984), 149-187. Zbl0537.49022MR733715
  3. [3] F. BETHUEL et J.M. GHIDAGLIA, Improved regularity of elliptic equations involving jacobians and applications, J. Math. Pure. Appl 72 ( 1993), 441-475. Zbl0831.35025MR1239099
  4. [4] J.M. CORON, Topologie et cas limite des injections de Sobolev, C.R. Acad. Sc. Paris, 299, Ser. I ( 1984), 209-212. Zbl0569.35032MR762722
  5. [5] Y. GE, Estimations of the best constant involving the L2 norm in Wente's inequality and compact H- surfaces into Euclidean space, COCV, Vol. 3 ( 1998), 263-300. Zbl0903.53003MR1634837
  6. [6] Y. GE et F. HÉLEIN, A remark on compact H-surfaces into ℝ3, en préparation. Zbl1052.58020
  7. [7] F. HÉLEIN, Applications harmoniques, lois de conservation et repère mobile, Diderot éditeur, Paris-New York-Amsterdam, ( 1996), ou Harmonie maps, conservation laws and moving frames, Diderot éditeur, Paris-New York-Amsterdam, ( 1997). 
  8. [8] S. HILDEBRANDT, On the Plateau problem for the surfaces of constant mean curvature, Comm. Pure. Appl. Math, 23 ( 1970), 97-114. Zbl0181.38703MR256276
  9. [9] P.L. LIONS, The concentration-compactness principle in the calculus of variations: The limit case. Part I and Part II, Rev. Mat. Ibero. 1(1) ( 1985), 145-201 and 1(2) ( 1985), 45-121. Zbl0704.49005MR850686
  10. [10] P. TOPPING, The Optimal Constant in Wente's L∞ Estimate, Comment. Math. Helv., 72 ( 1997), 316-328. Zbl0892.35030MR1470094
  11. [11] H. WENTE, An existence theorem for surfaces of constant mean curvature, J. Math. Anal. Appl, 26 ( 1969), 318-344; Large solutions to the volume constraint Plateau problem, Arch. rat. Mech. Anal, 75 ( 1980), 59-77. Zbl0181.11501MR243467
  12. [12] H. WENTE, Counter-example to a conjecture of H. Hopf, Pacific. J. Math, 121 ( 1986), 193-243. Zbl0586.53003

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