Entire solutions of Donaldson’s equation
Copyright policy )Entire solutions of Donaldson’s equation
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.
A serious blunder was found in a previous version of the paper
Complex Monge-Ampère operators, Entire solutions to PDEs, entire solution, Nonlinear elliptic equations, 35J60, Monge-Ampère equations, Mathematics - Analysis of PDEs, Liouville type theorem, Donaldson's equation, FOS: Mathematics, Analysis of PDEs (math.AP)
Complex Monge-Ampère operators, Entire solutions to PDEs, entire solution, Nonlinear elliptic equations, 35J60, Monge-Ampère equations, Mathematics - Analysis of PDEs, Liouville type theorem, Donaldson's equation, FOS: Mathematics, Analysis of PDEs (math.AP)
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