Constant mean curvature surfaces of annular type |
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Authors: | Henry C Wente |
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Institution: | (1) Department of Mathematics, The University of Toledo, Toledo, OH 43406, USA (e-mail: hwente@math.utoledo.edu) , US |
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Abstract: | We consider large solutions of annular type to the volume constrained Douglas problem. They are conformally immersed H-surfaces. By rescaling we set the volume functional at one while the boundary curves shrink to the origin. We show that the
solutions become spherical in a precise manner. Spherical bubbling may fail if the conformality condition is dropped. We also
discuss the rotationally symmetric annular solutions to the H-surface equation and consider some illustrative examples.
Received: 2 May 2000 / Accepted: 23 January 2001 / Published online: 4 May 2001 |
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Keywords: | Mathematics Subject Classification (2000): 49Q10 53A10 35J50 53E12 |
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