Capillary surfaces inside polyhedral regions

Abstract

In this paper we provide a large new family of embedded capillary surfaces inside polyhedral regions in the Euclidean space. The angle of contact of the examples we furnish is prescribed to be any value in $(\frac{\pi }{2},\pi ]$ and it is allowed to vary from one boundary component to the other.

Corollary 1.2 on p. 4, and its proof in the new Sec. 5, have been added in this version

References in corpus (1)

• Symmetry via Spherical Reflection and Spanning Drops in a Wedge