Failure of Interior Hölder and Gradient Estimates for the Subcritical Special Lagrangian Equation
Year: 2026
Type: preprint
Abstract: For every $n\ge3$, we show, by a family of explicit entire real-analytic solutions, that, for every subcritical phase and every $0<α\le1$, oscillation-based interior $C^α$ estimates fail for the special Lagrangian equation in $\mathbb{R}^n$. In fact, this family has no common interior modulus of continuity.
Source: arXiv (Cornell University)
Authors: Fan, Zhenyu, Li, Caiyan, Wang, Zhehui
Institutions: Xiamen University, Great Bay University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7206201902