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arXiv:2012.13509 [math.AP]AbstractReferencesReviewsResources

Asymptotic expansion at infinity of solutions of special Lagrangian equations

Zixiao Liu, Jiguang Bao

Published 2020-12-25Version 1

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.

Comments: 29 pages, 6 figures
Categories: math.AP
Subjects: 35J60, 35B40
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