3 papers
math.DG2026
Upper Bounds for Hessian Matrices of Positive Solutions to Heat Equations on Kähler Manifolds
Wenshuo Zhao, Anqiang Zhu
We prove global and local upper bounds for the Hessian matrices of positive solutions to the heat equation on Kähler manifolds whose bisectional curvature is bounded from below. W…
math.CA2026
A note on the first variation of the total mass
Xiaomei Sun, Anqiang Zhu
In this paper, we establish a proof for the first variation formula of the total mass within the framework. Our main result removes an extra restrictive determinant condition…
math.AP2026
Comparison Results for a class of Neumann Problems of the -Laplace Equation on Riemannian Manifolds
Wentao Liu, Anqiang Zhu
We consider Neumann boundary value problems for the -Laplace equation on Riemannian manifolds with nonnegative Ricci curvature. Using spherical symmetrization under appropriate…