The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*

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A microscopic convexity principle for nonlinear partial differential equations (2008, unknown): “In the subsequential papers [27, 17, 16, 18], this type of maximum principle was establishes for differential functional F when it is either an elementary symmetric function of ∇2u or a quotient of them.”
The Existence of Convex Body with Prescribed Curvature Measures (2009, methodology): “It seems that the estimates in [5] and [ 12 ] can not be obtained through similar way.”
Global C2‐Estimates for Convex Solutions of Curvature Equations (2013, background): “The strict convexity of the solution follows from the constant rank theorem in [15].”
A constant rank theorem for solutions of fully nonlinear elliptic equations (2007, background): “We remark that the major difference of the above proof and the proofs in [7, 11, 12, 13, 15] is the choice of the test function φ in (2.”