Vol. 117, No. 1, 1985

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Capillary surfaces over obstacles

Gerhard Huisken

Vol. 117 (1985), No. 1, 121–141
Abstract

We consider the usual capillarity problem with the additional requirement that the capillary surface lies above some obstacle. This involves a variational inequality instead of a boundary value problem. We prove existence of a solution to the variational inequality and study the boundary regularity. In particular, global C1,1-regularity is shown for a wider class of variational inequalities with conormal boundary condition.

Mathematical Subject Classification 2000
Primary: 49F10, 49F10
Secondary: 53A10
Milestones
Received: 2 February 1983
Published: 1 March 1985
Authors
Gerhard Huisken