CMC capillary surfaces at reentrant corners

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dc.contributor.author Athanassenas, Maria
dc.contributor.author Lancaster, Kirk E.
dc.date.accessioned 2012-06-21T21:31:25Z
dc.date.available 2012-06-21T21:31:25Z
dc.date.issued 2008-02
dc.identifier.citation Athanassenas, Maria and Kirk Lancaster. 2008. CMC capillary surfaces at reentrant corners. Pacific Journal of Mathematics, v.234, no.2, p.201-228 en_US
dc.identifier.issn 0030-8730
dc.identifier.uri http://hdl.handle.net/10057/5221
dc.identifier.uri http://msp.berkeley.edu/pjm/2008/234-2/pjm-v234-n2-p01-p.pdf
dc.identifier.uri http://dx.doi.org/10.2140/pjm.2008.234.201
dc.description Click on the DOI link below to access this article (may not be free) en_US
dc.description.abstract For a capillary graph in a vertical cylinder × R R3, the existence of a reentrant corner P 2 @ makes the determination of the continuity at P (or the behavior of the radial limits at P) of the solution problematic. Since continuity is the necessary consequence of the existence of a “central fan” of radial limits under certain conditions, the determination of necessary and sufficient conditions for the existence of a central fan is a very important open question in the mathematical theory of capillarity. Examples by Finn and Shi suggest that “central fans” may be very rare in the sense that arbitrarily small perturbations can eliminate them. In this note we obtain examples of capillary graphs (with zero mean curvature), each of which is continuous or has a central fan at a reentrant corner. en_US
dc.language.iso en_US en_US
dc.publisher Pacific Journal of Mathematics at the University of California en_US
dc.relation.ispartofseries Pacific Journal of Mathematics;v.234 no.2
dc.subject Minimal surface
dc.subject Capillary graph
dc.subject Riemann-Hilbert problem
dc.title CMC capillary surfaces at reentrant corners en_US
dc.type Article en_US
dc.description.version Peer reviewed
dc.rights.holder Copyright ©2008 by Pacific Journal of Mathematics

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