Pengfei Guan

activity

20022025

most citedA Microscopic Convexity Principle for Nonlinear Partial Differential Equations

107 citations · 368 across the 25 of their papers we have counts for

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Showing 2013 · math.APShow all

2 papers · 2 filters

math.AP2013

A proof of the Alexanderov's uniqueness theorem for convex surfaces in $R^{3}$

Pengfei Guan, Zhizhang Wang, Xiangwen Zhang

We give a new proof of a classical uniqueness theorem of Alexandrov using the weak uniqueness continuation theorem of Bers-Nirenberg. We prove a version of this theorem with the mi…

math.AP2013★ 13 cited

Global $C^{2}$ estimates for convex solutions of curvature equations

Pengfei Guan, Changyu Ren, Zhizhang Wang

We establish $C^{2}$ a priori estimate for convex hypersurfaces whose principal curvatures $κ = (κ_{1}, ..., κ_{n})$ satisfying Weingarten curvature equation $σ_{k} (κ (X)) = f (X, ν (X))$ . We also…

A proof of the Alexanderov's uniqueness theorem for convex surfaces in R3

Global C2 estimates for convex solutions of curvature equations

A proof of the Alexanderov's uniqueness theorem for convex surfaces in $R^{3}$

Global $C^{2}$ estimates for convex solutions of curvature equations