The Non-Liner Dirichlet Problem in Hadamard Manifolds
Differential Geometry
2009-08-26 v1 Analysis of PDEs
Abstract
We proof existence theorems for the Dirichlet problem for hypersurfaces of constant special Lagrangian curvature in Hadamard manifolds. The first results are obtained using the continuity method and approximation and then refined using two iterations of the Perron method. The a-priori estimates used in the continuity method are valid in any ambient manifold.
Cite
@article{arxiv.0908.3590,
title = {The Non-Liner Dirichlet Problem in Hadamard Manifolds},
author = {Graham Smith},
journal= {arXiv preprint arXiv:0908.3590},
year = {2009}
}