Abstract
We establish the existence and partial regularity for solutions of some boundary-value problems for the static theory of liquid crystals. Some related problems involving magnetic or electric fields are also discussed.
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Communicated by S.-T. Yau
Research partially supported by the National Science Foundation
Research supported by an Alfred P. Sloan Graduate Felowship
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Hardt, R., Kinderlehrer, D. & Lin, FH. Existence and partial regularity of static liquid crystal configurations. Commun.Math. Phys. 105, 547–570 (1986). https://doi.org/10.1007/BF01238933
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DOI: https://doi.org/10.1007/BF01238933