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On the non-existence of energy stable minimal cones

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Publication:750884
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DOI10.1016/S0294-1449(16)30282-7zbMath0714.49045MaRDI QIDQ750884

Ulrich Dierkes

Publication date: 1990

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1990__7_6_589_0


zbMATH Keywords

energy stable minimal cones


Mathematics Subject Classification ID

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


Related Items (4)

Curvature estimates for minimal hypersurfaces in singular spaces ⋮ Geometric and architectural aspects of the singular minimal surface equation ⋮ Symmetric solutions of the singular minimal surface equation ⋮ A Bernstein result for energy minimizing hypersurfaces




Cites Work

  • A classification of minimal cones in \({\mathbb{R}}^ n\times {\mathbb{R}}^+\) and a counterexample to interior regularity of energy minimizing functions
  • Curvature estimates for minimal hypersurfaces
  • Minimal varieties in Riemannian manifolds
  • Minimal cones and the Bernstein problem
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