Asymptotic expansion at infinity of solutions of special Lagrangian equations
Analysis of PDEs
2022-02-14 v1
Abstract
We obtain a quantitative high order expansion at infinity of solutions for a family of fully nonlinear elliptic equations on exterior domain, refine the study of the asymptotic behavior of the Monge-Amp\`ere equation, the special Lagrangian equation and other elliptic equations, and give the precise gap between exterior maximal (or minimal) gradient graph and the entire case.
Keywords
Cite
@article{arxiv.2012.13509,
title = {Asymptotic expansion at infinity of solutions of special Lagrangian equations},
author = {Zixiao Liu and Jiguang Bao},
journal= {arXiv preprint arXiv:2012.13509},
year = {2022}
}
Comments
29 pages, 6 figures