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 - <p style="text-align: justify;">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&nbsp; obtain a uniform global gradient estimate.</p>