Hölder regularity at the boundary of two-dimensional sliding almost minimal sets
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AbstractIn [15], Jean Taylor proved a regularity theorem away from the boundary for Almgren almost minimal sets of dimension 2 in {\mathbb{R}^{3}}. It is quite important for understanding the soap films and the solutions of Plateau’s problem away from boundary. In this paper, we will give a regularity result on the boundary for two-dimensional sliding almost minimal sets in {\mathbb{R}^{3}}.
2009 ◽
Vol 18
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pp. 65-246
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1972 ◽
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pp. 187-223
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2020 ◽
Vol 28
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pp. 51-82
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1997 ◽
Vol 4
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