100 citations · 157 across the 13 of their papers we have counts for
14 papers
Fully nonlinear elliptic equations on Hermitian manifolds for symmetric functions of partial Laplacians
Mathew George, Bo Guan, Chunhui Qiu
We consider a class of fully nonlinear second order elliptic equations on Hermitian manifolds closely related to the general notion of $\bfG$-plurisubharmonicity of Harvey-Lawson a…
On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian Manifolds
Bo Guan, Ni Xiang
We derive gradient and second order {\em a priori} estimates for solutions of the Neumann problem for a general class of fully nonlinear elliptic equations on compact Riemannian ma…
On estimates for fully nonlinear parabolic equations on Riemannian manifolds
Bo Guan, Shujun Shi, Zhenan Sui
We present some new ideas to derive {\em a priori} second order estiamtes for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results…
The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds
Bo Guan
We solve the Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds under essentially optimal structure conditions, especially with no restrictions to the…
Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
Bo Guan, Heming Jiao
We derive a priori estimates for second order derivatives of solutions to a wide calss of fully nonlinear elliptic equations on Riemannian manifolds. The equations we consider natu…
On a class of fully nonlinear elliptic equations on Hermitian manifolds
Bo Guan, Wei Sun
We derive a priori estimates for a class of complex Monge-Ampere type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations u…