Gradient Bounds for Almost Complex Special Lagrangian Equation with Supercritical Phase
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@Article{JMS-55-71,
author = {Zhang , Jiaogen},
title = {Gradient Bounds for Almost Complex Special Lagrangian Equation with Supercritical Phase},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {1},
pages = {71--83},
abstract = {
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v55n1.22.06}, url = {http://global-sci.org/intro/article_detail/jms/20195.html} }
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.
Jiaogen Zhang. (2022). Gradient Bounds for Almost Complex Special Lagrangian Equation with Supercritical Phase.
Journal of Mathematical Study. 55 (1).
71-83.
doi:10.4208/jms.v55n1.22.06
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