@article{CM_1989__69_2_175_0,
author = {Coron, Jean-Michel and Helein, Fr\'ed\'eric},
title = {Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry},
journal = {Compositio Mathematica},
volume = {72},
year = {1989},
pages = {175-228},
mrnumber = {984634},
zbl = {0686.58012},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1989__69_2_175_0}
}
Coron, J. M.; Helein, F. Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. Compositio Mathematica, Tome 72 (1989) pp. 175-228. http://gdmltest.u-ga.fr/item/CM_1989__69_2_175_0/
[ABL] , and : Coarea, liquid crystals, and minimal surfaces, DD7-A selection of Papers, Springer-Verlag, New-York, 1987.
[B1] : Harmonic morphisms into Riemann surfaces and generalized analytic functions, Ann. Inst. Fourier, Grenoble 37(1) (1987) 137-173. | Numdam | MR 894564 | Zbl 0608.58015
[B2] : Harmonic maps with symmetry, harmonic morphisms and deformations of metrics Research Notes in Math. 87, Pitman (1983). | MR 716320 | Zbl 0515.58010
[BE] and : A conservation law for harmonic maps, geometry, Symp. Utrecht (1980), Lecture Notes in Math. 894, Springer-Verlag (1981), pp. 1-25. | MR 655417 | Zbl 0485.58008
[BW] and : Bernstein theorems for harmonic morphisms from R3 and S3, Math. Ann. 280 (1988) 579-603. | MR 939920 | Zbl 0621.58011
[B] , Stability and uniqueness properties of the equator map from a ball into an ellipsoid, Math. Z. 185 (1984), 505-516. | MR 733770 | Zbl 0513.58021
[BCD] , and : Brownian motion and generalized analytic and inner functions, Ann. Inst. Fourier, Grenoble, 29(1) (1979) 207-208. | Numdam | MR 526785 | Zbl 0386.30029
[BZ] and : Density of smooth functions between two manifolds in Sobolev spaces, J. Funct. Analysis, to appear. | MR 960223 | Zbl 0657.46027
[BCL] , and , Harmonic maps with defects, Commun. Math. Phys. 107 (1986) 649-705. | MR 868739 | Zbl 0608.58016
[CG] and : Minimizing p-Harmonic maps into spheres, preprint. | MR 1018054
[EL] and : Report on harmonic maps, Bull. London Math. Soc. 10 (1978) 1-68. | MR 495450 | Zbl 0401.58003
[ES] and : Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964) 109-160. | MR 164306 | Zbl 0122.40102
[F] : Geometric Measure Theory, Berlin- Heidelberg-New-York, Springer (1969). | MR 257325 | Zbl 0176.00801
[GW] and : The rate of convergence of a harmonic map at a singular point, Math. Ann. (to appear). | MR 990588 | Zbl 0645.58018
[Ham] : Harmonic maps of manifolds with boundary, Lectures Notes in Math. Springer-Verlag 471 (1975). | MR 482822 | Zbl 0308.35003
[HKL] , and , Existence and partial regularity of static liquid crystal configurations, Commun. Math. Phys. 105 (1986) 547-570. | MR 852090 | Zbl 0611.35077
[HL] and : Mappings that minimize the pth power of the gradient, preprint.
[Ha1] : On homotopic harmonic maps, Canad. J. Math. 19 (1967) 673-687. | MR 214004 | Zbl 0148.42404
[Ha2] : Ordinary differential equations, New-York (1964). | MR 171038 | Zbl 0125.32102
[He] : Regularity and uniqueness of harmonic maps into an ellipsoid, Manuscripta Math. 60 (1988) 235-257. | MR 924091 | Zbl 0646.58020
[JK] and : Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems, J. Reine Angew. Math. 343 (1983) 146-161. | MR 705882 | Zbl 0516.35032
[J] : Harmonic maps between surfaces, Lectures Notes in Math., Springer Verlag, 1062 (1984). | MR 754769 | Zbl 0542.58002
[JS] and : On the existence of harmonic diffeomorphisms between surfaces Inv. Math. 66 (1982) 549-561. | MR 656629 | Zbl 0488.58009
[La] : Stability theory for ordinary differential equations, J. Differential Equations 4 (1968) 57-65. | MR 222402 | Zbl 0159.12002
[Le1] : Applications harmoniques de surfaces Riemanniennes, J. Diff. Geom. 13 (1978) 51-78. | MR 520601 | Zbl 0388.58003
[Le2] : Boundary value problems for harmonic maps and minimal maps of surfaces into manifolds, Ann. Scuola Norm. Sup. Pisa 9 (1982) 91-103. | Numdam | MR 664104 | Zbl 0532.58004
[Li] : A remark on the map x/|x|, C.R. Acad. Sci. Paris, t. 305, Série I (1987), pp. 529-531. | MR 916327 | Zbl 0652.58022
[M] : The problem of Plateau on a Riemannian manifold, Ann. of Math. 49 (1948) 807-851. | MR 27137 | Zbl 0033.39601
[SU] and : The existence of minimal immersions of 2-spheres, Ann. of Math. 113 (1981) 1-24. | MR 604040 | Zbl 0462.58014
[S1] : Analytic aspects of the harmonic map problem, Seminar on Nonlinear Partial Differential Equations, edited by S.S. Chern, MAth. sc. Research Institute Publications. | Zbl 0551.58011
[S2] : Existence and regularity for some geometric variational problems, Thesis Stanford Univ. (1977).