The non-linear Plateau problem in non-positively curved manifolds
classification
🧮 math.DG
keywords
curvaturemanifoldsprescribedboundarycompletecurvedexistencehypersurfaces
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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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