Height estimates for capillary surfaces

David Siegel

Vol. 88 (1980), No. 2, 471–515

DOI: 10.2140/pjm.1980.88.471

Abstract

In this paper estimates are obtained for any scalar function u(x) that staisfies the equation

(1a)

and the boundary condition

(1b)

Here κ is a positive constant, Ω is an open domain in n-dimensional Euclidean space, ν is the exterior unit normal on Σ, and Tu is the vector operator

Mathematical Subject Classification 2000

Primary: 35J65

Milestones

Received: 28 September 1979

Published: 1 June 1980