Doubling argument of the Hessian estimate for the special Lagrangian equation on general phases with constraints

Journal of Differential Equations 2026 Open access

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Authors: C.S. Fung
DOI: 10.1016/j.jde.2026.114687
Cited by: 0
References: 28

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems Navier-Stokes equation solutions

Publication details

Journal / source
Journal of Differential Equations
Publisher
Elsevier BV
Volume
482
Pages
114687–114687
Publication date
6 August 2026
Language
EN