期刊
PACIFIC JOURNAL OF MATHEMATICS
卷 232, 期 1, 页码 177-206出版社
PACIFIC JOURNAL MATHEMATICS
DOI: 10.2140/pjm.2007.232.177
关键词
liquid crystal; equilibrium configurations; harmonic maps
类别
In 1986, Hardt, Kinderlehrer and Lin established the existence and partial regularity of minimizers of the liquid crystal energy with the Oseen-Frank density. Motivated by the earlier results of Bethuel-Brezis-Coron and Riviere on harmonic maps, we prove the existence of infinitely many equilibrium configurations of the liquid crystal energy prescribing the same nonconstant boundary data.
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