Maximum principle for \(H\)-surfaces in the unit cone and Dirichlet's problem for their equation in central projection

DOI10.1007/s00032-016-0250-9zbMath1350.53018OpenAlexW2310802829MaRDI QIDQ302419

Friedrich Sauvigny

Publication date: 5 July 2016

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-016-0250-9

zbMATH Keywords

Dirichlet problem for the \(H\)-surface equation in central projectiongeometric maximum principle for \(H\)-surfacessurfaces of prescribed mean curvature \(H\) in cones

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60)

Related Items (2)

Solution of boundary value problems for surfaces of prescribed mean curvature \(H (x, y, z)\) with 1-1 central projection via the continuity method ⋮ Surfaces of prescribed mean curvature in a cone

Cites Work

• Maximum principles and nonexistence results for minimal submanifolds
• Flächen vorgeschriebener mittlerer Krümmung mit eineindeutiger Projektion auf eine Ebene
• Partial differential equations 1. Foundations and integral representations. With consideration of lectures by E. Heinz
• Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung
• Maximum principles for minimal surfaces and for surfaces of continuous mean curvature
• Minimal Surfaces
• Regularity of Minimal Surfaces
• Surfaces of prescribed mean curvature \(H(x,y,z)\) with one-to-one central projection onto a plane

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