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Stability of capillary surfaces with planar boundary in the absence of gravity

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Publication:411914
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DOI10.2140/PJM.2012.255.177zbMath1242.49090OpenAlexW2024879618MaRDI QIDQ411914

Petko I. Marinov

Publication date: 2 May 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/pjm/2012/255-1/p09.xhtml


zbMATH Keywords

mean curvaturecapillarityJacobi operator


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)


Related Items (7)

Stability of unduloid bridges with free boundary in a Euclidean slab ⋮ Capillary surfaces: stability, index and curvature estimates ⋮ On stable capillary hypersurfaces with planar boundaries ⋮ Static and dynamic stability of pendant drops ⋮ Stability of capillary hypersurfaces with planar boundaries ⋮ Uniqueness of stable capillary hypersurfaces in a ball ⋮ Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space







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