Hypersurfaces of constant curvature in hyperbolic space II

Bo Guan; Joel Spruck

Journal of the European Mathematical Society (2010)

  • Volume: 012, Issue: 3, page 797-817
  • ISSN: 1435-9855

Abstract

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This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.

How to cite

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Guan, Bo, and Spruck, Joel. "Hypersurfaces of constant curvature in hyperbolic space II." Journal of the European Mathematical Society 012.3 (2010): 797-817. <http://eudml.org/doc/277767>.

@article{Guan2010,
abstract = {This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.},
author = {Guan, Bo, Spruck, Joel},
journal = {Journal of the European Mathematical Society},
keywords = {hyperbolic space; hypersurfaces of constant curvature; asymptotic boundary; fully nonlinear elliptic equations; hypersurfaces constant curvature; hyperbolic spaces; nonlinear singular boundary value problems},
language = {eng},
number = {3},
pages = {797-817},
publisher = {European Mathematical Society Publishing House},
title = {Hypersurfaces of constant curvature in hyperbolic space II},
url = {http://eudml.org/doc/277767},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Guan, Bo
AU - Spruck, Joel
TI - Hypersurfaces of constant curvature in hyperbolic space II
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 3
SP - 797
EP - 817
AB - This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.
LA - eng
KW - hyperbolic space; hypersurfaces of constant curvature; asymptotic boundary; fully nonlinear elliptic equations; hypersurfaces constant curvature; hyperbolic spaces; nonlinear singular boundary value problems
UR - http://eudml.org/doc/277767
ER -

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