Entire solutions of Donaldson's equation

Mathematics – Analysis of PDEs

Scientific paper

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A serious blunder was found in a previous version of the paper

Scientific paper

In this short note we shall construct infinite many nontrivial entire
solutions to Donaldson's equation. We shall also prove a Liouville type theorem
for entire solutions of the Donaldson equation. We believe that one should be
able to classify all entire solutions of the Donaldson equation.

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