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dc.contributor.authorAthanassenas, Maria
dc.contributor.authorLancaster, Kirk E.
dc.date.accessioned2012-06-21T21:31:25Z
dc.date.available2012-06-21T21:31:25Z
dc.date.issued2008-02
dc.identifier.citationAthanassenas, Maria and Kirk Lancaster. 2008. CMC capillary surfaces at reentrant corners. Pacific Journal of Mathematics, v.234, no.2, p.201-228en_US
dc.identifier.issn0030-8730
dc.identifier.urihttp://hdl.handle.net/10057/5221
dc.identifier.urihttp://msp.berkeley.edu/pjm/2008/234-2/pjm-v234-n2-p01-p.pdf
dc.identifier.urihttp://dx.doi.org/10.2140/pjm.2008.234.201
dc.descriptionClick on the DOI link below to access this article (may not be free)en_US
dc.description.abstractFor 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.isoen_USen_US
dc.publisherPacific Journal of Mathematics at the University of Californiaen_US
dc.relation.ispartofseriesPacific Journal of Mathematics;v.234 no.2
dc.subjectMinimal surface
dc.subjectCapillary graph
dc.subjectRiemann-Hilbert problem
dc.titleCMC capillary surfaces at reentrant cornersen_US
dc.typeArticleen_US
dc.description.versionPeer reviewed
dc.rights.holderCopyright ©2008 by Pacific Journal of Mathematics


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