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ON THE MAXIMAL RANK PROBLEM FOR THE COMPLEX HOMOGENEOUS MONGE-AMPERE EQUATION

Journal article
Authors J. Ross
David Witt Nyström
Published in Analysis & Pde
Volume 12
Issue 2
Pages 493-504
ISSN 1948-206X
Publication year 2019
Published at Department of Mathematical Sciences
Pages 493-504
Language en
Links dx.doi.org/10.2140/apde.2019.12.493
Keywords 32w20, 35j60, 31c10, 35j70, microscopic convexity principle, elliptic-equations, kahler-metrics, theorem, geometry, Mathematics
Subject categories Mathematics

Abstract

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.

Page Manager: Webmaster|Last update: 9/11/2012
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