Minimal capillary graphs over regular 2n-gons

• Autores: Robert Huff
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 224, Nº 2, 2006, págs. 263-278
• Idioma: inglés
• DOI: 10.2140/pjm.2006.224.263
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• Resumen

  • This paper follows previous work by Huff and McCuan, who provided for 0 < ? < p a geometric construction of minimal capillary graphs over a square with constant contact angles on the edges alternating between ? and p - ?. Here the result is extended to regular 2n-gons. Regularity results are obtained for these graphs, and explicit, conformal parametrizations are given for the Jenkins¿Serrin graphs corresponding to ? in {0,p}.