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Stability of
capillary surfaces with planar boundary in the absence of
gravity
Petko I. Marinov |
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Vol. 255 (2012), No. 1, 177–190
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Abstract |
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We study immersed stable capillary surfaces with planar boundary in the absence of gravity. We assume that the surface approaches the boundary from one side. If the boundary of the capillary surface is embedded in a plane, we prove that the only immersed weakly stable capillary surface is the spherical cap. |
Keywords
capillarity, mean curvature, Jacobi operator
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Mathematical Subject Classification 2010
Primary: 49Q10, 53A10, 53C42
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Milestones
Received: 23 February 2011
Accepted: 11 May 2011
Published: 14 March 2012
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Authors |
| Petko I. Marinov | |
| 10A Sveti Naum ap.9 Sofia 1421 Bulgaria |
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