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2019 On the maximal rank problem for the complex homogeneous Monge–Ampère equation
Julius Ross, David Witt Nyström
Anal. PDE 12(2): 493-503 (2019). DOI: 10.2140/apde.2019.12.493

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

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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

Received: 8 December 2017; Revised: 6 April 2018; Accepted: 14 May 2018; Published: 2019
First available in Project Euclid: 9 October 2018

zbMATH: 06974520
MathSciNet: MR3861898
Digital Object Identifier: 10.2140/apde.2019.12.493

Subjects:
Primary: 32W20 , 58J32

Keywords: 31C10 , 32W20 , 35J60 , 35J70

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.12 • No. 2 • 2019
MSP
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