where ν is the outward pointing unit normal of ∂Ω, and where cosθ is a given function on ∂Ω. (Thus, in the capillarity problem, we are considering geometrically a function u in Ω̄ whose graph has the… (More)

For solutions to the capillarity problem possibly with the boundary contact angle θ being 0 and/or π in a relatively open portion of the boundary which is C2, we will show that if the solution is… (More)