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Defects of liquid crystals with variable degree of orientation

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Abstract

The defect set of minimizers of the modified Ericksen energy for nematic liquid crystals consists locally of a finite union of isolated points and Hölder continuous curves with finitely many crossings.

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Acknowledgements

The first and third authors were in part supported by the National Science Foundation Grant DMS-1501000. The second author was in part supported by the National Science Foundation Grant DMS-1207702.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY, 10012, USA

    Onur Alper & Fang-Hua Lin

  2. Mathematics Department, Rice University, Houston, TX, 77251, USA

    Robert Hardt

Authors
  1. Onur Alper
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  2. Robert Hardt
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  3. Fang-Hua Lin
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Correspondence to Onur Alper.

Additional information

Communicated by L. Ambrosio.

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Alper, O., Hardt, R. & Lin, FH. Defects of liquid crystals with variable degree of orientation. Calc. Var. 56, 128 (2017). https://doi.org/10.1007/s00526-017-1218-5

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