Singly periodic free boundary minimal surfaces in a solid cylinder of \(\mathbb R^3\)

DOI10.3934/DCDS.2015.35.4987zbMath1335.53009OpenAlexW2331670512MaRDI QIDQ255458

Filippo Morabito

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.4987

zbMATH Keywords

perturbation methodfixed point theoremfree boundarycontact anglesingly periodic minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Free boundary problems for PDEs (35R35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Free boundaries surfaces and saddle towers minimal surfaces in \(\mathbb{S}^2 \times \mathbb{R}\) ⋮ Bounded and unbounded capillary surfaces derived from the catenoid ⋮ Singly periodic free boundary minimal surfaces in a solid cylinder of \(\mathbb{H}^2 \times \mathbb{R}\)

Cites Work

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• Higher genus capillary surfaces in the unit ball of \(\mathbb R^3\)
• Minimal disc-type surfaces embedded in a perturbed cylinder.
• Construction de surfaces minimales en recollant des surfaces de Scherk. (Minimal surfaces constructed by gluing Scherk surfaces.)
• Embedded minimal surfaces derived from Scherk's examples
• Scherk-type capillary graphs
• Capillary surfaces of constant mean curvature in a right solid cylinder
• A Costa-Hoffman-Meeks type surface in $\mathbb H^{2} \times\mathbb R $

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