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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Datum

2002

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematische Zeitschrift. 2002, 242(1), pp. 159-181. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s002090100312

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

SCHNÜRER, Oliver C., 2002. The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds. In: Mathematische Zeitschrift. 2002, 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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