54 citations · 174 across the 23 of their papers we have counts for
5 papers · 1 filter
A class of curvature type equations
Pengfei Guan, Xiangwen Zhang
In this paper, we study the solvability of a general class of fully nonlinear curvature equations, which can be viewed as generalizations of the equations for Christoffel-Minkowski…
Parabolic complex Monge-Ampere equations on compact Kahler manifolds
Sebastien Picard, Xiangwen Zhang
We study the long-time existence and convergence of general parabolic complex Monge-Ampere type equations whose second order operator is not necessarily convex or concave in the He…
Regularity of Degenerate Hessian Equation
Slawomir Dinew, Szymon Plis, Xiangwen Zhang
We show a second order a priori estimate for solutions to the complex -Hessian equation on a compact Kähler manifold provided the --st root of the right hand side is $\m…
A proof of the Alexanderov's uniqueness theorem for convex surfaces in
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…
Measure Estimates, Harnack Inequalities and Ricci Lower Bound
Yu Wang, Xiangwen Zhang
On a Riemannian metric-measure space, we establish an Alexandrov-Bakelman-Pucci type measure estimate connecting Bakry-Émery Ricci curvature lower bound, modified Laplacian and the…