Asymptotic expansion and optimal symmetry of minimal gradient graph equations in dimension 2
Analysis of PDEs
2022-02-14 v1
Abstract
In this paper, we study asymptotic expansion at infinity and symmetry of zero mean curvature equations of gradient graph in dimension 2, which include the Monge--Amp\`ere equation, inverse harmonic Hessian equation and the special Lagrangian equation. This refines the research of asymptotic behavior, gives the precise gap between exterior minimal gradient graph and the entire case, and extends the classification results of Monge--Amp\`ere equations.
Keywords
Cite
@article{arxiv.2111.03991,
title = {Asymptotic expansion and optimal symmetry of minimal gradient graph equations in dimension 2},
author = {Zixiao Liu and Jiguang Bao},
journal= {arXiv preprint arXiv:2111.03991},
year = {2022}
}