A mixed boundary value problem with a multiple plane projection and the optimal design of spiral staircase

DOI10.1016/j.anihpc.2010.06.002zbMath1210.00037OpenAlexW2019461622MaRDI QIDQ708632

Friedrich Sauvigny

Publication date: 14 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.06.002

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Mathematics and architecture (00A67)

Related Items (2)

Mixed boundary value problems for minimal graphs on a Riemann surface and winding staircases ⋮ The Plateau problem for spiral curves

Cites Work

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• Uniqueness of stable minimal surfaces with partially free boundaries
• Partial differential equations 1. Foundations and integral representations. With consideration of lectures by E. Heinz
• Minimal Surfaces
• Regularity of Minimal Surfaces
• Global Analysis of Minimal Surfaces

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