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math.DG2012
An interior gradient estimate for the mean curvature equation of Killing graphs and applications
Marcos Dajczer, Jorge H. Lira, Jaime Ripoll
We extend the interior gradient estimate due to N. Korevaar and L. Simon for solutions of the mean curvature equation from the case of Euclidean graphs to the general case of Killi…
math.DG2012
The Dirichlet Problem for Curvature Equations in Riemannian Manifolds
Jorge H. S. de Lira, Flávio F. Cruz
We prove the existence of classical solutions to the Dirichlet problem for a class of fully nonlinear elliptic equations of curvature type on Riemannian manifolds. We also derive n…