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On the existence of
central fans of capillary surfaces
Ammar Khanfer |
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Vol. 281 (2016), No. 2, 467–479
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Abstract |
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We prove that under some conditions every nonparametric capillary surface which has a central fan (of radial limits at a point ) can be perturbed with respect to the contact angle and the perturbed surfaces continue to have central fans. In particular, any nonparametric capillary surface which is symmetric with respect to a vertical plane through and has a central fan may be perturbed (with respect to the contact angle) in a nonsymmetric manner and the resulting capillary surfaces will not be symmetric with respect to the vertical plane but will continue to have central fans. |
Keywords
capillary surfaces, nonconvex corner, central fans
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Mathematical Subject Classification 2010
Primary: 35J93, 76B45
Secondary: 35J62, 53A10
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Milestones
Received: 30 August 2013
Revised: 11 August 2015
Accepted: 14 August 2015
Published: 16 February 2016
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Authors |
| Ammar Khanfer | |
| Department of Mathematics and
Statistics Al-Imam Mohammad Ibn Saud Islamic University P.O. Box 90950 Al-Riyadh 11623 Saudi Arabia |
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