An Existence Theorem for Harmonic Maps.
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Jochen Lohkamp (1990)
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Thierry Horsin Molinaro (1993)
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Martin Fuchs (1993)
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Qun Chen (1998)
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C.M. Wood (1990)
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Frédéric Helein (1988)
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George Paulik (1988)
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Frank Duzaar, Joseph F. Grotowski (1994)
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Course, Neil (2007)
The New York Journal of Mathematics [electronic only]
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Alfred Baldes (1982)
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Qun Chen, Jürgen Jost, Guofang Wang, Miaomiao Zhu (2013)
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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...