Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante

Pierre Bérard

Séminaire de théorie spectrale et géométrie (1999-2000)

  • Volume: 18, page 109-118
  • ISSN: 1624-5458

How to cite

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Bérard, Pierre. "Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante." Séminaire de théorie spectrale et géométrie 18 (1999-2000): 109-118. <http://eudml.org/doc/114440>.

@article{Bérard1999-2000,
author = {Bérard, Pierre},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {constant mean curvature; strong and weak stability; strong and weak index; Dirichlet problem; twisted Dirichlet problem},
language = {fre},
pages = {109-118},
publisher = {Institut Fourier},
title = {Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante},
url = {http://eudml.org/doc/114440},
volume = {18},
year = {1999-2000},
}

TY - JOUR
AU - Bérard, Pierre
TI - Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante
JO - Séminaire de théorie spectrale et géométrie
PY - 1999-2000
PB - Institut Fourier
VL - 18
SP - 109
EP - 118
LA - fre
KW - constant mean curvature; strong and weak stability; strong and weak index; Dirichlet problem; twisted Dirichlet problem
UR - http://eudml.org/doc/114440
ER -

References

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  1. [1] D'ARCY-THOMPSON, W. - On growth and form, Cambridge University Press, 1942. Zbl0063.07372MR6348
  2. [2] BARBOSA, L., DO CARMO, M., ESCHENBURG, J. - Stability of hypersurfaces of constant mean curvature in Riemannian manifolds, Math. Z. 197 ( 1988), 123-138. Zbl0653.53045MR917854
  3. [3] BÉRARD, P., BARBOSA, L. - Eigenvalue and "twisted" eigenvalue problems, Applications to cmc surfaces, J. Math. Pures Appl. 79 ( 2000), 427-450 Zbl0958.58006MR1759435
  4. [4] BÉRARD, P., HAUSWIRTH, L. - General curvature estimates for stable H-surfaces immersed into a space form, J. Math. Pures Appl. 78 ( 1999), 667-700 Zbl0960.53033MR1711051
  5. [5] BÉRARD, P., LIMA, L., ROSSMAN, W. - Index growth of hypersurfaces with constant mean curvature, à paraître dans Math. Zeitschrift Zbl0998.53005
  6. [6] CASTILLON, P. - Spectral properties of constant mean curvature submanifolds in hyperbolic space, Ann. Global Anal. Geom. 17 ( 1999), 563-580 Zbl0948.58004MR1728088
  7. [7] FISCHER-COLBRIE, D. - On complete minimal surfaces with finite Morse index in three manifolds, Inventiones Math. 82 ( 1987), 121-132 Zbl0573.53038MR808112
  8. [8] FISCHER-COLBRIE, D., SCHOEN, R. - The structure of complete minimal surfaces in 3-manifolds of non-negative scalar curvature, Comm. Pure Appl. Math., 33 ( 1980), 199-211 Zbl0439.53060MR562550
  9. [9] LIMA, L., ROSSMAN, W. - Index of constant mean curvature 1 -surfaces in H3, Indiana Univ. Math. J. 47 ( 1998) 685-723. Zbl0924.53040MR1647877
  10. [10] SCHOEN, R. - Estimates for stable minimal surfaces in three manifolds, in : E. Bombieri (Ed.), Seminar on Minimal Submanifolds, Annals of Math. Studies, Princeton University Press, 1983 Zbl0532.53042MR795231
  11. [11] DA SIEVEIRA, A. - Stability of complete noncompact surfaces with constant mean curvature, Math. Ann. 277 ( 1987), 629-638. Zbl0627.53045MR901709
  12. [12] UHLENBECK, K. - Generic properties of eigenfunctions, Amer. J. Math. 98 ( 1976), 1059-1078 Zbl0355.58017MR464332

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