100 citations · 157 across the 13 of their papers we have counts for
4 papers · 1 filter
Second Order Estimates and Regularity for Fully Nonlinear Elliptic Equations on Riemannian Manifolds
Bo Guan
We derive a priori second order estimates for solutions of a class of fully nonlinear elliptic equations on Riemannian manifolds under some very general structure conditions. We tr…
A Monge-Ampere Type Fully Nonlinear Equation on Hermitian Manifolds
Bo Guan, Qun Li
We study a fully nonlinear equation of complex Monge-Ampere type on Hermitian manifolds. We establish the a priori estimates for solutions of the equation up to the second order de…
The Dirichlet Problem for a Complex Monge-Ampere Type Equation on Hermitian Manifolds
Bo Guan, Qun Li
We are concerned with fully nonlinear elliptic equations on complex manifolds and search for technical tools to overcome difficulties in deriving a priori estimates which arise due…
Interior curvature estimates and the asymptotic plateau problem in hyperbolic space
Bo Guan, Joel Spruck, Ling Xiao
We show that for a very general class of curvature functions defined in the positive cone, the problem of finding a complete strictly locally convex hypersurface in satisfy…