Failure of Interior Hölder and Gradient Estimates for the Subcritical Special Lagrangian Equation

Zhenyu Fan, Caiyan Li, Zhehui Wang

For every $n\ge 3$, we show, by a family of explicit entire real-analytic solutions, that, for every subcritical phase and every $0<\alpha \le 1$, oscillation-based interior $C^{\alpha }$ estimate…