A finiteness result in the free boundary value problem for minimal surfaces

DOI10.1016/S0294-1449(16)30383-3zbMath0603.49028WikidataQ125388035 ScholiaQ125388035MaRDI QIDQ1082605

Friedrich Tomi

Publication date: 1986

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1986__3_4_331_0

zbMATH Keywords

free boundary problemminimal surfacesH-convexityminimizing mapsdisc type solutions

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Free boundary problems for PDEs (35R35)

Related Items (4)

Free boundary problems for minimal surfaces and related questions ⋮ Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory ⋮ Regularity and finiteness of solutions to the free boundary problem for minimal surfaces ⋮ On minimal surfaces with free boundaries in given homotopy classes

Cites Work

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• Topology of three dimensional manifolds and the embedding problems in minimal surface theory
• On the local uniqueness of the problem of least area
• Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen
• Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. II: Freie Ränder. (Boundary value problems for surfaces with prescript mean curvature and applications to the capillarity theory. II: Free boundary values)
• Behavior of minimal surfaces with free boundaries

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