Bounded and unbounded capillary surfaces derived from the catenoid

DOI10.3934/DCDS.2018026zbMath1407.53010OpenAlexW2766469268MaRDI QIDQ1678212

Filippo Morabito

Publication date: 14 November 2017

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

Full work available at URL: https://doi.org/10.3934/dcds.2018026

zbMATH Keywords

perturbation methodfixed point theoremJacobi operatorcontact anglecapillary surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Free boundary problems for PDEs (35R35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Singly periodic free boundary minimal surfaces in a solid cylinder of \(\mathbb R^3\)
• Free boundaries surfaces and saddle towers minimal surfaces in \(\mathbb{S}^2 \times \mathbb{R}\)
• Higher genus capillary surfaces in the unit ball of \(\mathbb R^3\)
• Existence and regularity of a capillary surface with prescribed contact angle
• Gradient estimates for capillary-type problems via the maximum principle
• On the existence of a capillary surface with prescribed contact angle

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