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On the existence of harmonic diffeomorphisms between surfaces. (English) Zbl 0488.58009

58E20Harmonic maps between infinite-dimensional spaces
58E05Abstract critical point theory
Full Text: DOI EuDML
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[2] Eells, J., Lemaire, L.: A report on harmonic maps. Bull. London Math. Soc.10, 1-68 (1978) · Zbl 0401.58003 · doi:10.1112/blms/10.1.1
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[8] Jost, J., Karcher, H.: Einigea-Priori Abschätzungen für harmonische Abbildungen. (in press 1982) · Zbl 0502.53036
[9] Lemaire, L.: Applications harmonique de surfaces riemanniennes. J. Differential Geometry13 (1), 51-78 (1978) · Zbl 0388.58003
[10] Sacks, J., Uhlenbeck, K.: Minimal surfaces in Riemannian manifolds. Ann. Math. Studies (in press 1982) · Zbl 0527.58008
[11] Sampson, J.: Some properties and applications of harmonic maps. Ann. Sci. École Norm. Sup. (sér 4)11, 211-228 (1978) · Zbl 0392.31009
[12] Schoen, R., Yau, S.T.: On univalent harmonic maps between surfaces. Invent. Math.44, 265-278 (1978) · Zbl 0388.58005 · doi:10.1007/BF01403164
[13] Schoen, R., Yau, S.T.: Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Ann. Math.110, 127-142 (1979) · Zbl 0431.53051 · doi:10.2307/1971247
[14] Shibata, K.: On the existence of a harmonic mapping. Osaka J. Math.15, 173-211 (1963) · Zbl 0132.06004