Maximal Hypersurfaces over Exterior Domains

Maximal Hypersurfaces over Exterior Domains
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DOI：
10.1002/cpa.21929
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发表时间：
2019-03
期刊：
Communications on Pure and Applied Mathematics
影响因子：
3
通讯作者：
Guanghao Hong;Yu Yuan
Guanghao Hong;Yu Yuan
中科院分区：
数学1区
文献类型：
--
作者：
Guanghao Hong;Yu Yuan

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研究了极大曲面方程的外问题。我们得到了外解在无穷远处的精确渐近性态。我们还证明了外部Dirichlet问题对于允许的边界数据和给定的无穷远渐近行为是唯一可解的。©2020威利期刊有限责任公司。
Exterior problems for the maximal surface equation are studied. We obtain the precise asymptotic behavior of the exterior solution at infinity. We also prove that the exterior Dirichlet problem is uniquely solvable for admissible boundary data and prescribed asymptotic behavior at infinity. © 2020 Wiley Periodicals LLC.