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Maximal Hypersurfaces over Exterior Domains
Author(s) -
Hong Guanghao,
Yuan Yu
Publication year - 2021
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21929
Subject(s) - mathematics , infinity , boundary (topology) , dirichlet problem , mathematical analysis , dirichlet distribution , dirichlet boundary condition , boundary value problem , pure mathematics
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.