Invariant singular minimal surfaces

DOI10.1007/s10455-017-9586-9zbMath1396.53010OpenAlexW2773592598MaRDI QIDQ1647724

Rafael López

Publication date: 26 June 2018

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-017-9586-9

zbMATH Keywords

minimal surfacepotential energycylindrical surfacerotational surfacesingular minimal surface

Mathematics Subject Classification ID

Related Items (20)

What Is the Shape of a Cupola? ⋮ Singular Minimal Translation Graphs in Euclidean Spaces ⋮ The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem ⋮ A Weierstrass type representation for translating solitons and singular minimal surfaces ⋮ The one dimensional case of the singular minimal surfaces with density ⋮ Geometric and architectural aspects of the singular minimal surface equation ⋮ Geometry of \([\varphi, {\mathbf{e}}_3\)-minimal surfaces in \(\mathbb{R}^3\)] ⋮ Catenaries and singular minimal surfaces in the simply isotropic space ⋮ Ruled singular minimal surfaces ⋮ Cylindrical 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 ⋮ On solutions of the singular minimal surface equation ⋮ A Calabi's type correspondence ⋮ Symmetric solutions of the singular minimal surface equation ⋮ Equilibrium of surfaces in a vertical force field ⋮ The translating soliton 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 ⋮ The Euler-Helfrich functional

Cites Work

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• The two-dimensional analogue of the catenary
• A Bernstein result for energy minimizing hypersurfaces
• Isoperimetry of waists and concentration of maps
• Separation of variables in equations of mean-curvature type
• Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces
• A NONEXISTENCE THEOREM FOR THE TWO-DIMENSIONAL AMLOGUE OF THE CATENARY
• Maximum principles for energy stationary hypersurfaces

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