Changyou Wang

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

7 citations · 9 across the 4 of their papers we have counts for

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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…

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

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