Vol. 256, No. 2, 2012

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Entire solutions of Donaldson’s equation

Weiyong He

Vol. 256 (2012), No. 2, 359–363
Abstract

We construct infinitely many special entire solutions to Donaldson’s equation. We also prove a Liouville type theorem for entire solutions of Donaldson’s equation. We believe that all entire solutions of Donaldson’s equation have the form of the examples constructed in the paper.

Keywords
Donaldson’s equation, entire solution, Liouville type theorem
Mathematical Subject Classification 2010
Primary: 35J60, 35J96
Milestones
Received: 1 November 2011
Revised: 27 January 2012
Accepted: 27 February 2012
Published: 30 May 2012
Authors
Weiyong He
Department of Mathematics
University of Oregon
Eugene 97403
Oregon
United States