@article{ASNSP_1989_4_16_3_355_0, author = {Zhang, Dong}, title = {The existence of nonminimal regular harmonic maps from $B^3$ to $S^2$}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {355--365}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 16}, number = {3}, year = {1989}, mrnumber = {1050331}, zbl = {0701.58017}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1989_4_16_3_355_0/} }
TY - JOUR AU - Zhang, Dong TI - The existence of nonminimal regular harmonic maps from $B^3$ to $S^2$ JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1989 SP - 355 EP - 365 VL - 16 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1989_4_16_3_355_0/ LA - en ID - ASNSP_1989_4_16_3_355_0 ER -
%0 Journal Article %A Zhang, Dong %T The existence of nonminimal regular harmonic maps from $B^3$ to $S^2$ %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1989 %P 355-365 %V 16 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1989_4_16_3_355_0/ %G en %F ASNSP_1989_4_16_3_355_0
Zhang, Dong. The existence of nonminimal regular harmonic maps from $B^3$ to $S^2$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 16 (1989) no. 3, pp. 355-365. http://www.numdam.org/item/ASNSP_1989_4_16_3_355_0/
[ABL] Co-area, liquid crystals, and minimal surfaces, A selection of papers, Springer, New York, 1987. | MR
- - ,[AL] Minimizing harmonic mappings: bounds on the number of singularities and examples (including symmetry breaking), Preprint.
- ,[BC] Large solutions for harmonic maps in two dimensions, Comm. Math. Physics 92 (1983), pp. 203-215. | MR | Zbl
- ,[BCL] Harmonic maps with defects, Preprint.
- - ,[deG] The physics of liquid crystals, Oxford: Clarendon Press 1974.
,[ES] Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), pp. 109-160. | MR | Zbl
- ,[E] Equilibrium theory of liquid crystals. In: Advances in liquid crystals, 2, pp. 233-299; Brown, G.H. (ed) New York: Academic Press 1976.
,[H] Proceedings of the 1980, Beijing Symposium on Differential Geometry and Equations. I, pp. 481-616. | Zbl
,[HKW1] Harmonic maps into Riemannian manifolds with non-positive sectional curvature, Math. Scand. 37 (1975), pp. 257-263. | MR | Zbl
- - ,[HKW2] An existence theory for harmonic mappings of Riemannian manifolds, Acta Math. 138 (1977), pp. 1-16. | MR | Zbl
- - ,[HL1] A remark on H1 mappings of Riemannian manifolds, Manuscripta Math. 56 (1986), pp. 1-10. | MR | Zbl
- ,[HL2] Stability of singularities of minimizing harmonic maps, Preprint. | MR
- ,[HKL1] Existence and partial regularity of static liquid crystal configurations, Comm. Math. Physics. 105 (1986), pp. 189-194. | MR | Zbl
- - ,[HKL2] Stable defects of minimizers of constrained variational principles, IMA Preprint.
- - ,[M] Multiple integrals in the calculus of variations, Springer-Verlag, Heildelberg and New York, 1966. | MR | Zbl
,[SU1] A regularity theory for harmonic maps, J. Diff. Geom. 60 (1984), pp. 307-335. | MR | Zbl
- ,[SU2] Boundary regularity and the Dirichlet problem for harmonic maps, J. Diff. Geom. 18, pp. 253-268. | MR | Zbl
- ,[SU3] Regularity of minimizing harmonic maps into sphere, Inv. Math. 78, (1984), pp. 89-100. | MR | Zbl
- ,