Killing graphs with prescribed mean curvature and riemannian submersions

M. Dajczer; J. H. de Lira

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 3, page 763-775
  • ISSN: 0294-1449

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Dajczer, M., and de Lira, J. H.. "Killing graphs with prescribed mean curvature and riemannian submersions." Annales de l'I.H.P. Analyse non linéaire 26.3 (2009): 763-775. <http://eudml.org/doc/78866>.

@article{Dajczer2009,
author = {Dajczer, M., de Lira, J. H.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Riemannian submersion; prescribed mean curvature; Killing graphs},
language = {eng},
number = {3},
pages = {763-775},
publisher = {Elsevier},
title = {Killing graphs with prescribed mean curvature and riemannian submersions},
url = {http://eudml.org/doc/78866},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Dajczer, M.
AU - de Lira, J. H.
TI - Killing graphs with prescribed mean curvature and riemannian submersions
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 3
SP - 763
EP - 775
LA - eng
KW - Riemannian submersion; prescribed mean curvature; Killing graphs
UR - http://eudml.org/doc/78866
ER -

References

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  1. [1] Abresch U., Rosenberg H., Generalized Hopf differentials, Mat. Contemp.28 (2005) 1-28. Zbl1118.53036MR2195187
  2. [2] Alias L., Dajczer M., Ripoll J., A Bernstein-type theorem for Riemannian manifolds with a Killing field, Ann. Glob. Anal. Geom.31 (2007) 363-373. Zbl1125.53005MR2325221
  3. [3] Alias L., Dajczer M., Rosenberg H., The Dirichlet problem for CMC surfaces in Heisenberg space, Calc. Var. Partial Differ. Equations30 (2007) 513-522. Zbl1210.53010MR2332426
  4. [4] M. Dajczer, P. Hinojosa, J.H. de Lira, Killing graphs with prescribed mean curvature, Calc. Var. Partial Differ. Equations, in press. Zbl1152.53046
  5. [5] Dajczer M., Ripoll J., An extension of a theorem of Serrin to graphs in warped products, J. Geom. Anal.15 (2005) 193-205. Zbl1110.58021MR2152479
  6. [6] Daniel B., Isometric immersions into 3-dimensional homogeneous manifolds, Comment. Math. Helv.82 (2007) 87-131. Zbl1123.53029MR2296059
  7. [7] B. Daniel, The Gauss map of minimal surfaces in the Heisenberg group, Preprint. Zbl1209.53048
  8. [8] Gilbarg D., Trudinger N., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin–Heidelberg, 2001. Zbl0361.35003MR1814364
  9. [9] Korevaar N., An easy proof of the interior gradient bound for solutions of the prescribed mean curvature equation, in: Proc. Symp. Pure Math., vol. 45, Amer. Math. Soc., Providence, RI, 1986. Zbl0599.35046MR843597
  10. [10] Li Y.Y., Nirenberg L., Regularity of the distance function to the boundary, Rend. Accad. Naz. Sci. XL, Mem. Mat. Appl.123 (2005) 257-264. MR2305073
  11. [11] Morrey C., Multiple Integrals in the Calculus of Variations, Springer-Verlag, New York, 1966. Zbl0142.38701MR202511
  12. [12] O'Neill B., The fundamental equations of a submersion, Michigan Math. J.13 (1966) 459-469. Zbl0145.18602MR200865
  13. [13] Spruck J., Interior gradient estimates and existence theorem for constant mean curvature graphs, Pure Appl. Math. Q.3 (2007) 785-800. Zbl1145.53048MR2351645

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