Year: 2022
Author: Jiaogen Zhang
Journal of Mathematical Study, Vol. 55 (2022), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v55n1.22.06
Journal of Mathematical Study, Vol. 55 (2022), Iss. 1 : pp. 71–83
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Special Lagrangian equation almost complex manifold gradient estimates maximum principle.