The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds

Schnürer, Oliver C.

The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds

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Date

2002

Publication type

Journal article

Publication status

Published

Published in

Mathematische Zeitschrift ; 242 (2002), 1. - pp. 159-181. - ISSN 0025-5874. - eISSN 1432-1823

Abstract

We solve the Dirichlet problem for strictly convex,spacelik e hypersurfaces of prescribed Weingarten curvature under the main assumption that there exists an upper barrier. We consider curvature functions that correspond in general to fully nonlinear elliptic partial differential equations which are not uniformly elliptic.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

SCHNÜRER, Oliver C., 2002. The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds. In: Mathematische Zeitschrift. 242(1), pp. 159-181. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s002090100312

BibTex

@article{Schnurer2002-02-01Diric-41138,
  year={2002},
  doi={10.1007/s002090100312},
  title={The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds},
  number={1},
  volume={242},
  issn={0025-5874},
  journal={Mathematische Zeitschrift},
  pages={159--181},
  author={Schnürer, Oliver C.}
}

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