On the Maximal Rank Problem for the Complex Homogeneous Monge-Amp\`ere Equation
Complex Variables
2018-10-10 v1
Abstract
We give examples of regular boundary data for the Dirichlet problem for the Complex Homogeneous Monge-Amp\`ere Equation over the unit disc, whose solution is completely degenerate on a non-empty open set and thus fails to have maximal rank.
Cite
@article{arxiv.1610.02280,
title = {On the Maximal Rank Problem for the Complex Homogeneous Monge-Amp\`ere Equation},
author = {Julius Ross and David Witt Nyström},
journal= {arXiv preprint arXiv:1610.02280},
year = {2018}
}
Comments
10 pages