@article{AIHPC_1995__12_1_99_0, author = {Chou, Kai Seng and Zhu, Xi-Ping}, title = {Some constancy results for nematic liquid crystals and harmonic maps}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {12}, year = {1995}, pages = {99-115}, zbl = {0843.35027}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1995__12_1_99_0} }
Chou, Kai Seng; Zhu, Xi-Ping. Some constancy results for nematic liquid crystals and harmonic maps. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) pp. 99-115. http://gdmltest.u-ga.fr/item/AIHPC_1995__12_1_99_0/
[21] Existence, regularity, and asymptotic behavior of the solutions to the Ginzburg-Landau equations on R3, Commun. Math. Phys., Vol. 123, 1989, pp. 147-161. | MR 1002036 | Zbl 0678.35086
,[1] On a nonlinear elliptic problem involving the critical Sobolev exponent: The effect of the topology of the domain, Com. Pure Appl. Math., Vol. 41, 1988, pp. 253-294. | MR 929280 | Zbl 0649.35033
and ,[2] Regularity of minimizers of relaxed energies for harmonic maps, C. R. Acad. Sci. Paris, t. 310, Series I, 1990, pp. 827-829. | MR 1058505 | Zbl 0706.35027
and ,[3] Relaxed energies for harmonic maps, in Variational Problems, H. BERESTYCKI, J. M. CORON and I. EKELAND eds., Birkhäuser, 1990. | MR 1205144 | Zbl 0793.58011
, and ,[4] Positive solutions of Δu+u(n+2)/(n-2) = 0 on a contractible domain, preprint. | MR 1027983
,[5] Equilibrium theory of liquid crystals, in Advances in Liquid Crystals, 2, pp. 233-299, G. H. BROWN ed., New York: Academic Press, 1976.
,[6] Mathematical questions of liquid crystal theory, in Theory and Applications of Liquid Crystals, IMA, 5, Springer-Verlag, 1986. | MR 900833
and ,[7] Existence and partial regularity of static liquid crystal configurations, Com. Math. Phy., Vol. 105, 1986, pp. 547-570. | MR 852090 | Zbl 0611.35077
, and ,[8] Non-existence results and growth properties for harmonic maps and forms, J. Reine Angew. Math., Vol. 353, 1984, pp. 165-180. | MR 765831 | Zbl 0544.58008
and ,[9] Applications harmoniques de surfaces riemanniennes, J. Diff. Geom., Vol. 13, 1978, pp. 51-78. | MR 520601 | Zbl 0388.58003
,[10] Nonlinear theory of defects in nematic liquid crystal; phase transition and flow phenomena, Com. Pure. Appl. Math., Vol. 42, 1989, pp. 789-814. | MR 1003435 | Zbl 0703.35173
,[11] Eigenfunction of the equation Δu + λf (u) = 0, Soviet Math. Dokl., Vol. 6, 1965, pp. 1408-1411.
,[12] A general variational identity, Indiana Univ. Math. J., Vol. 35, 1986, pp. 681-703. | MR 855181 | Zbl 0625.35027
and ,