Vol. 134, No. 1, 1988

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Uniqueness for certain surfaces of prescribed mean curvature

Thomas Vogel

Vol. 134 (1988), No. 1, 197–207
Abstract

The classical problem of liquid in a capillary tube concerns finding the minimum of a certain energy function, which leads to a surface of prescribed mean curvature. This paper weakens the hypotheses by considering local minima of the functional. It is shown that no new surfaces result.

Mathematical Subject Classification 2000
Primary: 53A10
Secondary: 49F10
Milestones
Received: 5 March 1987
Published: 1 September 1988
Authors
Thomas Vogel
Department of Mathematics
Texas A & M University
College Station TX 77843-3368
United States
http://www.math.tamu.edu/~tom.vogel/