The symmetric minimal surface equation

DOI10.1512/iumj.2020.69.8412zbMath1470.49068OpenAlexW3008264844MaRDI QIDQ5109028

Leon Simon, Kaveh Fouladgar

Publication date: 7 May 2020

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2020.69.8412

zbMATH Keywords

symmetryPDEminimal surfacesgradient boundsmean curvature operatorsingular set

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (3)

What Is the Shape of a Cupola? ⋮ Geometric and architectural aspects of the singular minimal surface equation ⋮ Stable minimal hypersurfaces in \(\mathbb{R}^{N+1+\ell}\) with singular set an arbitrary closed \(K\subset\{0\}\times\mathbb{R}^{\ell}\)

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• The Equivariant Plateau Problem and Interior Regularity
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