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Régularité des applications faiblement harmoniques entre une surface et une variété riemannienne. (Regularity of weakly harmonic maps between a surface and a Riemannian manifold). (French) Zbl 0728.35015
Summary: We show that any weakly harmonic map with finite energy defined on a two- dimensional surface with values in a compact Riemannian manifold is smooth harmonic.

MSC:
35D10 Regularity of generalized solutions of PDE (MSC2000)
35J60 Nonlinear elliptic equations
58E20 Harmonic maps, etc.
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