Higher genus capillary surfaces in the unit ball of \(\mathbb R^3\)

DOI10.1186/1687-2770-2014-130zbMath1305.53012OpenAlexW2169173881WikidataQ59322153 ScholiaQ59322153MaRDI QIDQ476950

Filippo Morabito

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-130

zbMATH Keywords

minimal surfaceperturbation methodnonlinear PDE's

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

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 \(\mathbb{H}^2 \times \mathbb{R}\) ⋮ Uniqueness of stable capillary hypersurfaces in a ball ⋮ Singly periodic free boundary minimal surfaces in a solid cylinder of \(\mathbb R^3\)

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