A free boundary value problem of nematic liquid crystals with variable degree of orientation

DOI10.1016/0362-546X(94)00266-KzbMath0838.49001OpenAlexW2045158251MaRDI QIDQ4861548

Takeshi Isobe

Publication date: 9 May 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00266-k

zbMATH Keywords

nematic liquid crystalsfree boundary problemsEricksen's modelharmonic maps into a cone

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Liquid crystals (76A15)

Cites Work

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• Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
• Regularity of solutions of a degenerate elliptic variational problem
• A unique continuation theorem for exterior differential forms on Riemannian manifolds
• Harmonic maps of manifolds with boundary
• Harmonic maps into round cones and singularities of nematic liquid crystals
• On Ericksen's model for liquid crystals
• Harmonic mappings with partially free boundary
• On nematic liquid crystals with variable degree of orientation
• Mappings minimizing theLp norm of the gradient
• Partially constrained boundary conditions with energy minimizing mappings
• An optimal estimate for the singular set of a harmonic map in the free boundary.
• The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension

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