The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds

Type of Publication: Journal article
Publication status: Published
Author: Schnürer, Oliver C.
Year of publication: 2002
Published in: Mathematische Zeitschrift ; 242 (2002), 1. - pp. 159-181. - ISSN 0025-5874. - eISSN 1432-1823
DOI (citable link): https://dx.doi.org/10.1007/s002090100312
Summary:
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

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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

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

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