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Refined asymptotics for minimal graphs in the hyperbolic space

Refined asymptotics for minimal graphs in the hyperbolic space
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摘要 We study the boundary behaviors of solutions f to the Dirichlet problem for minimal graphs in the hyperbolic space with singular asymptotic boundaries and characterize the boundary behaviors of f at the points strictly located in the tangent cones at the singular points on the boundary. For n =2, we also obtain a refined estimate of f. We study the boundary behaviors of solutions f to the Dirichlet problem for minimal graphs in the hyperbolic space with singular asymptotic boundaries and characterize the boundary behaviors of f at the points strictly located in the tangent cones at the singular points on the boundary. For n =2, we also obtain a refined estimate of f.
出处 《Science China Mathematics》 SCIE CSCD 2019年第2期381-390,共10页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 11571019)
关键词 ASYMPTOTIC behaviors MINIMAL GRAPHS SINGULAR DOMAINS asymptotic behaviors minimal graphs singular domains
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