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Uniqueness of \(x/|{} x|\) as a stable configuration in liquid crystals

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Publication:1183368
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DOI10.1007/BF02921388zbMath0754.76008MaRDI QIDQ1183368

Biao Ou

Publication date: 28 June 1992

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)


zbMATH Keywords

harmonic mapintegral curveselastic constants


Mathematics Subject Classification ID

Liquid crystals (76A15)




Cites Work

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  • Boundary regularity and the Dirichlet problem for harmonic maps
  • A regularity theory for harmonic maps
  • Harmonic maps with defects
  • Existence and partial regularity of static liquid crystal configurations
  • Stable defects of minimizers of constrained variational principles
  • Weak Stability of The Map x/|x| For Liquid Crystal Functionals
  • Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
  • Second variation of liquid crystal energy at x /| x |
  • Elliptic Partial Differential Equations of Second Order
  • The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
  • General Solutions in the Hydrostatic Theory of Liquid Crystals


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