References
H. Brezis, J. M. Coron andE. Lieb, Harmonie maps with defects. Comm. Math. Phys.107, 649–705 (1986).
A. Baldes, Stability and uniqueness properties of the equator map from a bail into an ellipsoid. Math. Z.185, 505–516 (1984).
F. Bethuel, On the singular set of stationary harmonic maps. Manuscripta Math.78, 417–443 (1993).
L. Evans, Partial regularity for stationary harmonic maps into spheres. Arch. Rational Mech. Anal.116, 101–163 (1993).
F. Hélein, Régularité des applications faiblement harmoniques entre une surface et une variété riemannienne. C. R. Acad. Sci. Paris Sér. I. Math.312, 591–596 (1991).
G. Liao, A regularity theorem for harmonie maps with small energy, J. Differential Geom.22, 233–241 (1985).
C.-C. Poon, Some new harmonic maps fromB 2 toS 3. J. Differential Geom.34, 165–168 (1991).
T.Riviére, Everywhere discontinuous harmonic maps fromB 3intoS 2. E. N. S. Cachan Preprint No.9302 (1993).
R. Schoen, Analytic aspects of the harmonic map problem. Math. Sci. Res. Inst. Publ.2, 321–358 (1984).
R. Schoen andK. Uhlenbeck, Boundary regularity and the Dirichlet problem for harmonic maps. J. Differential Geom.18, 253–268 (1983).
J. C.Wood, Non-existence of solutions to certain Dirichlet problems for harmonic maps. University of Leeds Preprint Series No.17 (1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grotowski, J.F., Shen, Y. & Yan, S. On various classes of harmonic maps. Arch. Math 64, 353–358 (1995). https://doi.org/10.1007/BF01198092
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01198092