The non-linear Plateau problem in non-positively curved manifolds

Details The non-linear Plateau problem in non-positively curved manifolds The non-linear Plateau problem in non-positively curved manifolds

2010-04-02

arxiv.org/abs/1004.0374v1

Mathematics

Differential Geometry

This paper complements the results of arXiv:0908.3590.

Scientific paper

Using the Perron method, we prove the existence of hypersurfaces of
prescribed special Lagrangian curvature with prescribed boundary inside
complete Riemannian manifolds of non-positive curvature.

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