Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem

Yi Fang; Jenn Fang Hwang

doi:10.4310/CAG.2000.v8.n4.a6

Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem

Yi Fang, Jenn Fang Hwang

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this article we give curvature estimates for minimal annuli with convex boundary L₁ ∪ L₂ in parallel planes and apply these estimates to solve some kinds of non-compact Douglas-Plateau problem. The estimates for minimal annuli also give various necessary conditions for the existence of minimal surfaces.

Original language	English
Pages (from-to)	871-904
Number of pages	34
Journal	Communications in Analysis and Geometry
Volume	8
Issue number	4
DOIs	https://doi.org/10.4310/CAG.2000.v8.n4.a6
Publication status	Published - Oct 2000

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title = "Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem",

abstract = "In this article we give curvature estimates for minimal annuli with convex boundary L1 ∪ L2 in parallel planes and apply these estimates to solve some kinds of non-compact Douglas-Plateau problem. The estimates for minimal annuli also give various necessary conditions for the existence of minimal surfaces.",

author = "Yi Fang and Hwang, {Jenn Fang}",

year = "2000",

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doi = "10.4310/CAG.2000.v8.n4.a6",

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AU - Hwang, Jenn Fang

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AB - In this article we give curvature estimates for minimal annuli with convex boundary L1 ∪ L2 in parallel planes and apply these estimates to solve some kinds of non-compact Douglas-Plateau problem. The estimates for minimal annuli also give various necessary conditions for the existence of minimal surfaces.

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JO - Communications in Analysis and Geometry

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Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem

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