Stability and bifurcation for surfaces with constant mean curvature

DOI10.2969/JMSJ/06941519zbMath1382.58012OpenAlexW2766503787MaRDI QIDQ1687577

Paolo Piccione, Miyuki Koiso, Bennett Palmer

Publication date: 4 January 2018

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1508918567

zbMATH Keywords

stabilitybifurcationconstant mean curvature surfaces

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) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Variational methods for eigenvalues of operators (49R05)

Related Items (8)

Stability of hypersurfaces of constant mean curvature with free boundary in two parallel hyperplanes ⋮ Stability of surfaces with constant mean curvature bounded by two coaxial circles ⋮ Bifurcation and local rigidity of constant second mean curvature hypersurfaces in Riemannian warped products ⋮ Higher order variations of constant mean curvature surfaces ⋮ Symmetry breaking bifurcation of membranes with boundary ⋮ Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature ⋮ Stability of hypersurfaces with constant mean curvature trapped between two parallel hyperplanes ⋮ Local rigidity, bifurcation, and stability of \(H_f\)-hypersurfaces in weighted Killing warped products

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