Ke Wu

collaborators

3 papers

math.AP2026

Interior Hessian estimates for k-convex solutions of Hessian quotient equations with 2k>n

Ke Wu

We establish interior Hessian estimates for $k$ convex solutions of $\frac{σ _{k} ( D ^{2} u )}{σ _{l} ( D ^{2} u )} = 1$ , where $1 \leq l < k < n$ , $k - l \in {1, 2}$ , and $2 k > n$ .The proof combines a…

math.AP2026

Interior Hessian estimates for the quadratic Hessian equation

Zhisu Li, Ke Wu

We establish interior Hessian estimates for solutions of the quadratic Hessian equation in arbitrary dimensions.

math.AP2026

A concavity inequality and interior $C^{2}$ estimate for Hessian quotient equations

Zhisu Li, Ke Wu

We establish a concavity inequality for the Hessian quotient operators $\frac{σ _{k}}{σ _{l}}$ in the cases $k - l \in {1, 2}$ , and then derive the corresponding Jacobi inequality. Combinin…

Interior Hessian estimates for k-convex solutions of Hessian quotient equations with 2k>n

Interior Hessian estimates for the quadratic Hessian equation

A concavity inequality and interior C2 estimate for Hessian quotient equations

A concavity inequality and interior $C^{2}$ estimate for Hessian quotient equations