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On the maximal rank
problem for the complex homogeneous Monge–Ampère equation
Julius Ross and David Witt Nyström |
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Vol. 12 (2019), No. 2, 493–503
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DOI: 10.2140/apde.2019.12.493
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Abstract |
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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. |
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Keywords
32W20, 35J60, 31C10, 35J70
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Mathematical Subject Classification 2010
Primary: 32W20, 58J32
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Milestones
Received: 8 December 2017
Revised: 6 April 2018
Accepted: 14 May 2018
Published: 14 August 2018
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Authors |
| Julius Ross | |
| Department of Pure Mathematics and
Mathematical Statistics University of Cambridge Cambridge United Kingdom |
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| David Witt Nyström | |
| Department of Mathematical
Sciences Chalmers University of Technology and the University of Gothenburg Gothenburg Sweden |
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