Abstract
Consider a nonparametric capillary or prescribed mean curvature surface zD f.x/ defined in a cylinderR over a two-dimensional regionwhose boundary has a corner at O with an opening angle of 2 . Suppose the con- tact angle approaches limiting values 1 and 2 in.0;/ as O is approached along each side of the opening angle. We will prove the nonconvex Concus- Finn conjecture, determine the exact sizes of the radial limit fans of f at O when. 1; 1/2 D 1 ( D 2 and discuss the continuity of the Gauss map.
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