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Uniqueness ofx/¦x¦ as a stable configuration in liquid crystals

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Abstract

We deduce the uniqueness ofx/¦x¦ as a stable configuration in liquid crystals for some range of the elastic constants, following an observation on the curvature of the integral curves along the optic axis and a careful study of F.-H. Lin’s proof ofx/¦x¦ as a stable harmonic map. Our study includes the harmonic case when all the elastic constants are equal.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Biao Ou

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  1. Biao Ou
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Communicated by Robert Hardt

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Ou, B. Uniqueness ofx/¦x¦ as a stable configuration in liquid crystals. J Geom Anal 2, 183–194 (1992). https://doi.org/10.1007/BF02921388

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  • DOI: https://doi.org/10.1007/BF02921388

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