Foliations of small tubes in Riemannian manifolds by capillary minimal discs

DOI10.1016/j.na.2008.10.024zbMath1161.53347OpenAlexW1980251553WikidataQ115343159 ScholiaQ115343159MaRDI QIDQ1015150

Mouhamed Moustapha Fall, Carlo Mercuri

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.024

zbMATH Keywords

exponential mapminimal surfacesvariational perturbative methods for PDE's

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items

Higher genus capillary surfaces in the unit ball of \(\mathbb R^3\) ⋮ Singly periodic free boundary minimal surfaces in a solid cylinder of \(\mathbb{H}^2 \times \mathbb{R}\)

Cites Work

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• Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
• Area-minimizing disks with free boundary and prescribed enclosed volume
• Variational perturbative methods and bifurcation of bound states from the essential spectrum

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