Optimal global regularity for minimal graphs over convex domains in hyperbolic space期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Optimal global regularity for minimal graphs over convex domains in hyperbolic space

Authors:	You LI Yannan LIU

Affiliation:	School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China

Abstract:	We use the concept of the inside-(a, η, h) domain to construct a subsolution to the Dirichlet problem for minimal graphs over convex domains in hyperbolic space. As an application, we prove that the Hölder exponent $max {1 / a, 1 / (n + 1)}$ for the problem is optimal for any $a ∈ [2, + ∞]$ .

Keywords:	Minimal graph equation optimal regularity global regularity

	点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息
	点击此处可从《Frontiers of Mathematics in China》下载全文