A Bernstein result and counterexample for entire solutions to Donaldson's equation
Analysis of PDEs
2015-03-25 v1
Abstract
We show that convex entire solutions to Donaldson's equation are quadratic, using a result of Weiyong He. We also exhibit entire solutions to the Donaldson equation that are not of the form discussed by He. In the process we discover some non-trivial entire solutions to complex Monge-Amp\`{e}re equations.
Keywords
Cite
@article{arxiv.1503.06847,
title = {A Bernstein result and counterexample for entire solutions to Donaldson's equation},
author = {Micah Warren},
journal= {arXiv preprint arXiv:1503.06847},
year = {2015}
}