Author

Cai-Yan Li

h-index 3 View on Semantic Scholar

We have 3 of 15 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Failure of Interior H\"older and Gradient Estimates for the Subcritical Special Lagrangian Equation

For every $n\ge3$, we show, by a family of explicit entire real-analytic solutions, that, for every subcritical phase and every $0<\alpha\le1$, oscillation-based interior $C^\alpha$ estimates fail for the special Lagrangian equation in $\mathbb{R}^n$. In fact, this family has no common interior modulus of continuity.

Zhen-Yu Fan, Cai-Yan Li, Zhe-Hui Wang · 2 citations

Preprint Aug 2026

A Horizon-Free Extrinsic Penrose Inequality

Let $S\subset\mathbb R^3$ be a properly embedded mean-convex planar surface with finitely many ends. Designate one end as asymptotically flat, assume that $H_S$ is integrable there, and denote its extrinsic mass by $m_+(S)$. Let $A_S$ be the infimum of the areas of compact surfaces separating the distinguished end from...

Cai-Yan Li · 1 citation

Preprint Aug 2026

Positive Mass Theorem with Arbitrary Ends and Noncompact Boundary

We prove a positive mass theorem for complete Riemannian manifolds with noncompact boundary, a distinguished asymptotically flat half-space end, and finitely many additional complete ends with no prescribed asymptotics. If $3\leq n\leq7$, $R_g\geq0$, and $H_{\partial M}\geq0$, then $ \mathfrak m(M,g,\mathcal E)\geq0$....

Cai-Yan Li · 1 citation