no. 2
Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry
Compositio Mathematica, Tome 69 (1989) no. 2, pp. 175-228. 
@article{CM_1989__69_2_175_0,
     author = {Coron, J. M. and Helein, F.},
     title = {Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry},
     journal = {Compositio Mathematica},
     pages = {175--228},
     publisher = {Kluwer Academic Publishers},
     volume = {69},
     number = {2},
     year = {1989},
     mrnumber = {984634},
     zbl = {0686.58012},
     language = {en},
     url = {http://www.numdam.org/item/CM_1989__69_2_175_0/}
}
TY  - JOUR
AU  - Coron, J. M.
AU  - Helein, F.
TI  - Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry
JO  - Compositio Mathematica
PY  - 1989
SP  - 175
EP  - 228
VL  - 69
IS  - 2
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1989__69_2_175_0/
LA  - en
ID  - CM_1989__69_2_175_0
ER  - 
%0 Journal Article
%A Coron, J. M.
%A Helein, F.
%T Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry
%J Compositio Mathematica
%D 1989
%P 175-228
%V 69
%N 2
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1989__69_2_175_0/
%G en
%F CM_1989__69_2_175_0
Coron, J. M.; Helein, F. Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. Compositio Mathematica, Tome 69 (1989) no. 2, pp. 175-228. http://www.numdam.org/item/CM_1989__69_2_175_0/

[ABL] F. Almgren, W. Browder and E.H. Lieb: Coarea, liquid crystals, and minimal surfaces, DD7-A selection of Papers, Springer-Verlag, New-York, 1987.

[B1] P. Baird: Harmonic morphisms into Riemann surfaces and generalized analytic functions, Ann. Inst. Fourier, Grenoble 37(1) (1987) 137-173. | Numdam | MR | Zbl

[B2] P. Baird: Harmonic maps with symmetry, harmonic morphisms and deformations of metrics Research Notes in Math. 87, Pitman (1983). | MR | Zbl

[BE] P. Baird and J. Eells: A conservation law for harmonic maps, geometry, Symp. Utrecht (1980), Lecture Notes in Math. 894, Springer-Verlag (1981), pp. 1-25. | MR | Zbl

[BW] P. Baird and J.C. Wood: Bernstein theorems for harmonic morphisms from R3 and S3, Math. Ann. 280 (1988) 579-603. | MR | Zbl

[B] A. Baldes, Stability and uniqueness properties of the equator map from a ball into an ellipsoid, Math. Z. 185 (1984), 505-516. | MR | Zbl

[BCD] A. Bernard, E.A. Campbell and A.M. Davie: Brownian motion and generalized analytic and inner functions, Ann. Inst. Fourier, Grenoble, 29(1) (1979) 207-208. | Numdam | MR | Zbl

[BZ] F. Bethuel and X. Zheng: Density of smooth functions between two manifolds in Sobolev spaces, J. Funct. Analysis, to appear. | MR | Zbl

[BCL] H. Brezis, J.M. Coron and E. Lieb, Harmonic maps with defects, Commun. Math. Phys. 107 (1986) 649-705. | MR | Zbl

[CG] J.M. Coron and R. Gulliver: Minimizing p-Harmonic maps into spheres, preprint. | MR

[EL] J. Eells and L. Lemaire: Report on harmonic maps, Bull. London Math. Soc. 10 (1978) 1-68. | MR | Zbl

[ES] J. Eells and J.H. Sampson: Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964) 109-160. | MR | Zbl

[F] H. Federer: Geometric Measure Theory, Berlin- Heidelberg-New-York, Springer (1969). | MR | Zbl

[GW] R. Gulliver and B. White: The rate of convergence of a harmonic map at a singular point, Math. Ann. (to appear). | MR | Zbl

[Ham] R. Hamilton: Harmonic maps of manifolds with boundary, Lectures Notes in Math. Springer-Verlag 471 (1975). | MR | Zbl

[HKL] R. Hardt, D. Kinderlehrer and F.H. Lin, Existence and partial regularity of static liquid crystal configurations, Commun. Math. Phys. 105 (1986) 547-570. | MR | Zbl

[HL] R. Hardt and F.H. Lin: Mappings that minimize the pth power of the gradient, preprint.

[Ha1] P. Hartman: On homotopic harmonic maps, Canad. J. Math. 19 (1967) 673-687. | MR | Zbl

[Ha2] P. Hartman: Ordinary differential equations, New-York (1964). | MR | Zbl

[He] F. Hélein: Regularity and uniqueness of harmonic maps into an ellipsoid, Manuscripta Math. 60 (1988) 235-257. | MR | Zbl

[JK] W. Jäger and H. Kaul: 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 | Zbl

[J] J. Jost: Harmonic maps between surfaces, Lectures Notes in Math., Springer Verlag, 1062 (1984). | MR | Zbl

[JS] J. Jost and R. Schoen: On the existence of harmonic diffeomorphisms between surfaces Inv. Math. 66 (1982) 549-561. | MR | Zbl

[La] J.P. La Salle: Stability theory for ordinary differential equations, J. Differential Equations 4 (1968) 57-65. | MR | Zbl

[Le1] L. Lemaire: Applications harmoniques de surfaces Riemanniennes, J. Diff. Geom. 13 (1978) 51-78. | MR | Zbl

[Le2] L. Lemaire: Boundary value problems for harmonic maps and minimal maps of surfaces into manifolds, Ann. Scuola Norm. Sup. Pisa 9 (1982) 91-103. | Numdam | MR | Zbl

[Li] F.H. Lin: A remark on the map x/|x|, C.R. Acad. Sci. Paris, t. 305, Série I (1987), pp. 529-531. | MR | Zbl

[M] C.B. Morrey: The problem of Plateau on a Riemannian manifold, Ann. of Math. 49 (1948) 807-851. | MR | Zbl

[SU] J. Sacks and K. Uhlenbeck: The existence of minimal immersions of 2-spheres, Ann. of Math. 113 (1981) 1-24. | MR | Zbl

[S1] R. Schoen: Analytic aspects of the harmonic map problem, Seminar on Nonlinear Partial Differential Equations, edited by S.S. Chern, MAth. sc. Research Institute Publications. | Zbl

[S2] R. Schoen: Existence and regularity for some geometric variational problems, Thesis Stanford Univ. (1977).