Higher genus capillary surfaces in the unit ball of R-3

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We construct the first examples of capillary surfaces of positive genus, embedded in the unit ball of R-3 with vanishing mean curvature and locally constant contact angles along their three boundary curves. These surfaces come in families depending on one parameter and they converge to the triple equatorial disk. Such surfaces are obtained by deforming the Costa-Hoffman-Meeks minimal surfaces.
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Issue Date
2014-05
Language
English
Article Type
Article
Keywords

PRESCRIBED CONTACT-ANGLE; MINIMAL-SURFACES; EXISTENCE

Citation

BOUNDARY VALUE PROBLEMS

ISSN
1687-2770
DOI
10.1186/1687-2770-2014-130
URI
http://hdl.handle.net/10203/195223
Appears in Collection
MA-Journal Papers(저널논문)
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