BOUNDED AND UNBOUNDED CAPILLARY SURFACES DERIVED FROM THE CATENOID

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We construct two kinds of capillary surfaces by using a perturbation method. Surfaces of fi rst kind are embedded in a solid ball B of R-3 with assigned mean curvature function and whose boundary curves lie on partial derivative B : The contact angle along such curves is a non-constant function. Surfaces of second kind are unbounded and embedded in R-3 \ (B) over tilde; (B) over tilde being a deformation of a solid ball in R-3 : These surfaces have assigned mean curvature function and one boundary curve on partial derivative(B) over tilde : Also in this case the contact angle along the boundary is a non-constant function.
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Issue Date
2018-02
Language
English
Article Type
Article
Keywords

PRESCRIBED CONTACT-ANGLE; MINIMAL-SURFACES; EXISTENCE

Citation

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.38, no.2, pp.589 - 614

ISSN
1078-0947
DOI
10.3934/dcds.2018026
URI
http://hdl.handle.net/10203/239902
Appears in Collection
MA-Journal Papers(저널논문)
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