Abstract
We give examples of regular boundary data for the Dirichlet problem for the complex homogeneous Monge–Ampère equation over the unit disc, whose solution is completely degenerate on a nonempty open set and thus fails to have maximal rank.
Citation
Julius Ross. David Witt Nyström. "On the maximal rank problem for the complex homogeneous Monge–Ampère equation." Anal. PDE 12 (2) 493 - 503, 2019. https://doi.org/10.2140/apde.2019.12.493
Information