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Sharp size estimates
for capillary free surfaces without gravity
Xi-nan Ma |
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Vol. 192 (2000), No. 1, 121–134
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Abstract |
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For the equation of constant mean curvature with prescribed constant contact angle boundary condition, using the unique continuation of analytic function, we get a minimum principle for a combination of the solution and its gradient. Thus we get the endpoint case for P-function (Sperb, 1981) and in fact answer an open question which appeared twenty years ago in Payne & Philippin, 1977, 1979 and Sperb, 1981. As an application, sharp size and shape estimetes for capillary free surface without gravity are obtained. |
Milestones
Received: 13 April 1998
Published: 1 January 2000
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Authors |
| Xi-nan Ma | |
| East China Normal University Shanghai P.R. China |
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