Geometric and architectural aspects of the singular minimal surface equation

DOI10.1007/978-3-031-39916-9_11OpenAlexW4387758516MaRDI QIDQ6120651

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Publication date: 25 March 2024

Published in: New Trends in Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-39916-9_11

zbMATH Keywords

stabilitycenter of gravitysingular minimal surfaceconstruction of domes

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Applications of differential geometry to sciences and engineering (53Z99) Mathematics and architecture (00A67)

Cites Work

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• On the non-existence of energy stable minimal cones
• A criterion on instability of cylindrical rotating surfaces
• On a singular variational integral with linear growth. I: Existence and regularity of minimizers
• The \(n\)-dimensional analogue of the catenary: Existence and non-existence
• The two-dimensional analogue of the catenary
• Isoperimetry of waists and concentration of maps
• Elliptic partial differential equations of second order
• Invariant singular minimal surfaces
• Uniqueness of critical points and maximum principles of the singular minimal surface equation
• The Dirichlet problem for the \(\alpha \)-singular minimal surface equation
• Symmetric solutions of the singular minimal surface equation
• Plateau-Rayleigh instability of singular minimal surfaces
• A dome subjected to compression forces: a comparison study between the mathematical model, the catenary rotation surface and the paraboloid
• Minimum principles and a priori estimates for some translating soliton type problems
• Free boundary stable hypersurfaces in manifolds with density and rigidity results
• Bifurcation of Cylinders for Wetting and Dewetting Models with Striped Geometry
• A NONEXISTENCE THEOREM FOR THE TWO-DIMENSIONAL AMLOGUE OF THE CATENARY
• Various centroids and some characterizations of catenary rotation hypersurfaces
• The symmetric minimal surface equation
• Compact singular minimal surfaces with boundary
• Constant Mean Curvature Surfaces with Boundary
• Extremities of stability for pendant drops
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V
• What Is the Shape of a Cupola?

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