Harmonic mappings with partially free boundary.
Alfred Baldes (1982)
Manuscripta mathematica
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Alfred Baldes (1982)
Manuscripta mathematica
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Michael Struwe (1991)
Manuscripta mathematica
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Hong Min-Chun (1992)
Manuscripta mathematica
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Andreas Gastel (1992)
Manuscripta mathematica
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Gu Chaohao (1980/81)
Manuscripta mathematica
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Jochen Lohkamp (1990)
Manuscripta mathematica
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Ilkka Holopainen, Seppo Rickman (1992)
Revista Matemática Iberoamericana
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C. Sbordone, Luigi Greco, T. Iwaniec (1997)
Manuscripta mathematica
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Bent Fuglede (1978)
Annales de l'institut Fourier
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A harmonic morphism between Riemannian manifolds and is by definition a continuous mappings which pulls back harmonic functions. It is assumed that dim dim, since otherwise every harmonic morphism is constant. It is shown that a harmonic morphism is the same as a harmonic mapping in the sense of Eells and Sampson with the further property of being semiconformal, that is, a conformal submersion of the points where vanishes. Every non-constant harmonic morphism is shown to be...
C.M. Wood (1990)
Manuscripta mathematica
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Wang, Ze-Ping (2009)
Beiträge zur Algebra und Geometrie
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Karsten Große-Brauckmann (1992)
Manuscripta mathematica
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Qun Chen, Jürgen Jost, Guofang Wang, Miaomiao Zhu (2013)
Journal of the European Mathematical Society
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Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian...