JOURNAL OF GGT

Published in Journal of Gökova Geometry Topology, Volume 3 (2009)
Title A generalised Joyce construction for a family of nonlinear partial differential equations
Author Simon Donaldson
Abstract
We show that a certain family of nonlinear fourth order partial differential equations in two variables can be reduced to linear equations. This extends a construction of Joyce and also the description by Chern and Terng of affine maximal surfaces.
Pages1-8
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Submitted: April 7, 2009
Accepted: April 18, 2009
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Last updated: February 2010
Web address: GokovaGT.org/journal/2009