Shuning Xu

collaborators

2 papers

math.AP2026

Strict Convexity and Sharp Power Concavity for a Graphical $σ_{2}$ -Curvature Equation

Shuning Xu

We prove strict convexity of the square-root transformation $v = - - u$ for admissible solutions of a graphical $σ_{2}$ -curvature Dirichlet problem on smooth uniformly convex doma…

math.AP2026

Strict Convexity for Solution of Liouville-Type Dirichlet Problems

Jiahuan Li, Shuning Xu

We identify a common convexity structure for three exponential Dirichlet problems on smooth uniformly strictly convex domains: the Liouville equation $Δ u = e^{u}$ , the real equation $σ…

Strict Convexity and Sharp Power Concavity for a Graphical σ2​-Curvature Equation

Strict Convexity for Solution of Liouville-Type Dirichlet Problems

Strict Convexity and Sharp Power Concavity for a Graphical $σ_{2}$ -Curvature Equation