SINGLY PERIODIC FREE BOUNDARY MINIMAL SURFACES IN A SOLID CYLINDER OF R-3

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The aim of this work is to show the existence of free boundary minimal surfaces of Saddle Tower type which are embedded in a vertical solid cylinder in R-3 and invariant with respect to a vertical translation. The number of boundary curves equals 2l, l >= 2. These surfaces come in families depending on one parameter and they converge to 2l vertical stripes having a common vertical intersection line. Such surfaces are obtained by perturbing the symmetrically modified Saddle Tower minimal surfaces.
Publisher
AMER INST MATHEMATICAL SCIENCES
Issue Date
2015-10
Language
English
Article Type
Article
Citation

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.35, no.10, pp.4987 - 5001

ISSN
1078-0947
DOI
10.3934/dcds.2015.35.4987
URI
http://hdl.handle.net/10203/198593
Appears in Collection
MA-Journal Papers(저널논문)
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