A classification of minimal cones in \({\mathbb{R}}^ n\times {\mathbb{R}}^+\) and a counterexample to interior regularity of energy minimizing functions

DOI10.1007/BF01168870zbMath0667.49030WikidataQ124799391 ScholiaQ124799391MaRDI QIDQ1117453

Ulrich Dierkes

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/155375

zbMATH Keywords

minimal conesenergy minimizing functionsexistence of singular minimizers

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (6)

Mean convexity of the zero set of symmetric minimal surfaces ⋮ Hölder continuity for continuous solutions of the singular minimal surface equation with arbitrary zero set ⋮ Symmetric solutions of the singular minimal surface equation ⋮ Removable singularities of solutions of the symmetric minimal surface equation ⋮ On the non-existence of energy stable minimal cones ⋮ On \(\alpha \)-minimizing hypercones

Cites Work

• Unnamed Item
• On a singular variational integral with linear growth. I: Existence and regularity of minimizers
• Boundary regularity for solutions of a singular variational problem with linear growth

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