On the maximal rank problem for the complex homogeneous Monge-Ampère equation
Journal article, 2019
We give examples of regular boundary data for the Dirichlet problem for the complex homogeneous Monge-Ampere equation over the unit disc, whose solution is completely degenerate on a nonempty open set and thus fails to have maximal rank.
35J70
31C10
35J60
32W20
Author
Julius Ross
University of Cambridge
David Witt Nyström
Chalmers, Mathematical Sciences, Algebra and geometry
Analysis and PDE
2157-5045 (ISSN) 1948-206X (eISSN)
Vol. 12 2 493-504Subject Categories
Computational Mathematics
Probability Theory and Statistics
Mathematical Analysis
DOI
10.2140/apde.2019.12.493