Changyou Wang

activity

20032022

most citedWell-posedness for the heat flow of harmonic maps and the liquid crystals flow with rough initial data

169 citations · 845 across the 56 of their papers we have counts for

collaborators

Showing 2003Show all

4 papers · 1 filter

math.AP2003★ 2 cited

Viscosity convex functions on Carnot groups

Changyou Wang

We prove that any locally bounded from below, upper semicontinuous v-convex function in any Carnot group is h-convex.

math.AP2003★ 7 cited

The comparsion principle for viscosity solutions of fully nonlinear subelliptic equations in Carnot groups

Changyou Wang

For any Carnot group $G$ and a bounded domain $Ω \subset G$ , we prove that viscosity solutions in $C(\bar\Om)$ of the fully nonlinear subelliptic equation $F(u,\nabla_h u, \…

math.AP2003

The Aronsson equation for absolute minimizers of $L^{\infty}$ -functionals associated with vector fields satisfying Hörmander's condition

Changyou Wang

Given a Carnot-Carathéodory metric space $(R^{n}, d_{cc})$ generated by vector fields ${X_{i}}_{i = 1}^{m}$ satisfying Hörmander's condition, we prove in theorem A that any absolu…

math.DG2003

On the Mean Curvature Flow for $σ_{k}$ -Convex Hypersurfaces

Hao Fang, ChangYou Wang

We obtain estimates on both size and dimensions of the singular set at the first blow-up time of the mean curvature flow of hypersurfaces whose initial data is $σ_{k}$ -convex.

Viscosity convex functions on Carnot groups

The comparsion principle for viscosity solutions of fully nonlinear subelliptic equations in Carnot groups

The Aronsson equation for absolute minimizers of L∞-functionals associated with vector fields satisfying Hörmander's condition

On the Mean Curvature Flow for σk​-Convex Hypersurfaces

The Aronsson equation for absolute minimizers of $L^{\infty}$ -functionals associated with vector fields satisfying Hörmander's condition

On the Mean Curvature Flow for $σ_{k}$ -Convex Hypersurfaces