TY - JOUR T1 - Gradient Bounds for Almost Complex Special Lagrangian Equation with Supercritical Phase AU - Zhang , Jiaogen JO - Journal of Mathematical Study VL - 1 SP - 71 EP - 83 PY - 2022 DA - 2022/01 SN - 55 DO - http://doi.org/10.4208/jms.v55n1.22.06 UR - https://global-sci.org/intro/article_detail/jms/20195.html KW - Special Lagrangian equation, almost complex manifold, gradient estimates, maximum principle. AB -

In this article, we will consider the Dirichlet problem for special Lagrangian equation on $\Omega\subset M$, where $(M,J)$ is a compact almost complex manifold. Under the existence of $C^{2}$-smooth strictly $J$-plurisubharmonic subsolution $\underline{u}$, in the supercritical phase case, we  obtain a uniform global gradient estimate.