Resumen de Minimal capillary graphs over regular 2n-gons

Robert Huff

• 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}.