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math.DG2017★ 45 cited
Interior C2 regularity of convex solutions to prescribing scalar curvature equations
Pengfei Guan, Guohuan Qiu
We establish interior estimates for convex solutions of scalar curvature equation and -Hessian equation. We also prove interior curvature estimate for isometrically imme…
math.DG2014
A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality
Guohuan Qiu, Chao Xia
In this paper, we prove a generalization of Reilly's formula in \cite{Reilly}. We apply such general Reilly's formula to give alternative proofs of the Alexandrov's Theorem and the…