On the maximal rank problem for the complex homogeneous Monge-Ampère equation
Artikel i vetenskaplig tidskrift, 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
Författare
Julius Ross
University of Cambridge
David Witt Nyström
Chalmers, Matematiska vetenskaper, Algebra och geometri
Analysis and PDE
2157-5045 (ISSN) 1948-206X (eISSN)
Vol. 12 2 493-504Ämneskategorier
Beräkningsmatematik
Sannolikhetsteori och statistik
Matematisk analys
DOI
10.2140/apde.2019.12.493