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arXiv · 2511.07757

Doubling Argument of the Hessian Estimate for the Special Lagrangian Equation on General Phases with Constraints

Cheuk Yan Fung
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Abstract

In this paper, we establish a doubling argument to obtain Hessian estimates for the special Lagrangian equation under general phase constraints. In particular, our approach does not rely on the Michael-Simon mean value inequality. As an intermediate step, we also establish Alexandrov-type theorems, which may be of independent interest.

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Cheuk Yan Fung. 2025-11-11. Doubling Argument of the Hessian Estimate for the Special Lagrangian Equation on General Phases with Constraints. https://doi.org/10.1016/j.jde.2026.114687

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