Fanheng Xu

collaborators

2 papers

math.AP2026

Inner regularity and Liouville theorems for stable solutions to the mean curvature equation

Fanheng Xu

Let $f \in C^{1} (R)$ . We study stable solutions $u$ of the mean curvature equation \[ \operatorname{div}\left( \frac{\nabla u}{\sqrt{1+|\nabla u|^2}} \right) = -f(u) \qquad \…

math.AP2026

Improved Interior Gradient Estimates for the Mean Curvature Equation under Nonlinear Assumptions

Fanheng Xu

In this paper, we investigate interior gradient estimates for solutions to the mean curvature equation $$ \dive \left( \frac{\nabla u}{\sqrt{1 + |\nabla u|^2}} \right) = f(\nabla u…