7 citations · 15 across the 10 of their papers we have counts for
11 papers
Regularity for convex viscosity solutions of equation
Ruosi Chen, Yannan Liu, Xingchen Zhou
We prove interior regularity for convex viscosity solutions of the -Hessian equation with , under a strict -convexity condition…
Existence of solutions to the generalized dual Minkowski problem
Mingyang Li, Yannan Liu, Jian Lu
Given a real number and a star body in the -dimensional Euclidean space, the generalized dual curvature measure of a convex body was introduced by Lutwak-Yang-Zhang [43]. Th…
On the number of solutions to the planar dual Minkowski problem
YanNan Liu, Jian Lu
The dual Minkowski problem in the two-dimensional plane is studied in this paper. By combining the theoretical analysis and numerical estimation of an integral with parameters, we…
A flow method for a generalization of Christofell-Minkowski problem
Boya Li, Hongjie Ju, Yannan Liu
In this paper, a generalization of the -Christoffel-Minkowski problem is studied. We consider an anisotropic curvature flow and derive the long-time existence of the flow. T…
Nonuniqueness and nonexistence results for the Lp-dual Minkowski problem with supercritical exponents
Shi-Zhong Du, YanNan Liu, Jian Lu
In this paper, the -dual Minkowski problem of Monge-Ampère type were studied for different and . Some new nonuniqueness results we…
Deforming a convex hypersurface by anisotropic curvature flows
Hongjie Ju, Boya Li, Yannan Liu
In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean n-space. This flow involves k-th elementary symmetric function for principal c…
A generalized Gauss curvature flow related to the Orlicz-Minkowski problem
YanNan Liu, Jian Lu
In this paper a generalized Gauss curvature flow about a convex hypersurface in the Euclidean -space is studied. This flow is closely related to the Orlicz-Minkowski problem, wh…
Existence of smooth even solutions to the dual Orlicz-Minkowski problem
Li Chen, YanNan Liu, Jian Lu +1
In this paper we study the dual Orlicz-Minkowski problem, which is a generalization of the dual Minkowski problem in convex geometry. By considering a geometric flow involving Gaus…
A flow method for the dual Orlicz-Minkowski problem
YanNan Liu, Jian Lu
In this paper the dual Orlicz-Minkowski problem, a generalization of the dual Minkowski problem, is studied. By studying a flow involving the Gauss curvature and support func…
Global existence and finite time blow-up for the heat flow of H-system with constant mean curvature
Fei Fang, Yannan Liu
In this paper, we use the modified potential well method to study the long time behaviors of solutions to the heat flow of H-system in a bounded smooth domain of . Global exis…
Global Regularity for minimal graphs over convex domains in hyperbolic space
Huaiyu Jian, You Li
In this paper we study the global regularity for the solution to the Dirichlet problem of the equation of minimal graphs over a convex domain in hyperbolic spaces. We find that the…