The Monge-Amp\`{e}re equation on almost complex manifolds
Complex Variables
2012-07-31 v2 Analysis of PDEs
Abstract
We study the Dirichlet problem for the Monge-Amp\`ere equation on almost complex manifolds. We obtain the existence of the unique smooth solution of this problem in strictly pseudoconvex domains.
Cite
@article{arxiv.1106.3356,
title = {The Monge-Amp\`{e}re equation on almost complex manifolds},
author = {Szymon Plis},
journal= {arXiv preprint arXiv:1106.3356},
year = {2012}
}
Comments
Revised version + section about maximal functions