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Entire invariant solutions to Monge-Ampère equations

Author(s): Roger Bielawski
Journal: Proc. Amer. Math. Soc. 132 (2004), 2679-2682.
MSC (2000): Primary 35J60
Posted: April 9, 2004
MathSciNet review: 2054794
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Abstract: We prove existence and regularity of entire solutions to Monge-Ampère equations invariant under an irreducible action of a compact Lie group.

References:

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Additional Information:

Roger Bielawski
Affiliation: Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland
Email: R.Bielawski@maths.gla.ac.uk

DOI: 10.1090/S0002-9939-04-07373-3
PII: S 0002-9939(04)07373-3
Received by editor(s): May 13, 2003
Received by editor(s) in revised form: June 16, 2003
Posted: April 9, 2004
Additional Notes: This research was supported by an EPSRC advanced fellowship
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2004, American Mathematical Society

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