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math.AP2018★ 2 cited
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…
math.AP2018
Rigidity of the entire solutions of 2-Hessian equation
Li Chen, Ni Xiang
In this paper, we prove some rigidity theorems for the entire 2-convex solutions of 2-Hessian equation in Euclidean space. As an application, we obtain a Bernstein type theorem for…