Mean convexity of the zero set of symmetric minimal surfaces

DOI10.1007/s00229-017-0940-9zbMath1386.35117OpenAlexW2617975481MaRDI QIDQ1692191

Tobias Tennstädt

Publication date: 26 January 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-017-0940-9

zbMATH Keywords

minimal surfacescatenary problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Singular elliptic equations (35J75) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (1)

Hölder continuity for continuous solutions of the singular minimal surface equation with arbitrary zero set

Cites Work

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• 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
• A classification of minimal cones in \({\mathbb{R}}^ n\times {\mathbb{R}}^+\) and a counterexample to interior regularity of energy minimizing functions
• Boundary regularity for solutions of a singular variational problem with linear growth
• On the regularity of solutions for a singular variational problem
• Sets of Finite Perimeter and Geometric Variational Problems
• Global Analysis of Minimal Surfaces

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