The existence and non-existence of a non-paeametric solution to equations of minimal sueface type

Chi Ping Lau

doi:10.1524/anly.1984.4.12.177

The existence and non-existence of a non-paeametric solution to equations of minimal sueface type

Chi Ping Lau^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

The Dirichlet problem for equations of minimal surface type 2 2 in a bounded C domain [formula omitted] is considered when the given boundary data are “small” and ∂Ω does not have the “correct” mean curvature. The critical norm separating existence and non-existence is found to be C0,1(∂Ω).

Original language	English
Pages (from-to)	177-196
Number of pages	20
Journal	Analysis
Volume	4
Issue number	1-2
DOIs	https://doi.org/10.1524/anly.1984.4.12.177
Publication status	Published - 1 Jan 1984
Externally published	Yes

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10.1524/anly.1984.4.12.177

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title = "The existence and non-existence of a non-paeametric solution to equations of minimal sueface type",

abstract = "The Dirichlet problem for equations of minimal surface type 2 2 in a bounded C domain [formula omitted] is considered when the given boundary data are “small” and ∂Ω does not have the “correct” mean curvature. The critical norm separating existence and non-existence is found to be C0,1(∂Ω).",

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AB - The Dirichlet problem for equations of minimal surface type 2 2 in a bounded C domain [formula omitted] is considered when the given boundary data are “small” and ∂Ω does not have the “correct” mean curvature. The critical norm separating existence and non-existence is found to be C0,1(∂Ω).

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JO - Analysis

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IS - 1-2

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The existence and non-existence of a non-paeametric solution to equations of minimal sueface type

Abstract

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