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Partial Differential Equations pp 293–319Cite as

Heat-flow methods for harmonic maps of surfaces and applications to free boundary problems

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1324))

Abstract

In [17] the Eells-Sampson method for constructing harmonic maps between manifolds was extended to maps from a surface to an arbitrary compact manifold. We review the results in [17] and present several applications: First a new proof of the Sacks-Uhlenbeck results is given. Then we study minimal surfaces and surfaces of constant mean curvature with free boundaries on a supporting surface in ℝ3.

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References

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Authors and Affiliations

  1. ETH - Zentrum, Zurich

    Michael Struwe

Authors
  1. Michael Struwe
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Fernando Cardoso Djairo G. de Figueiredo Rafael Iório Orlando Lopes

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© 1988 Springer-Verlag

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Struwe, M. (1988). Heat-flow methods for harmonic maps of surfaces and applications to free boundary problems. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100801

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  • DOI: https://doi.org/10.1007/BFb0100801

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50111-4

  • Online ISBN: 978-3-540-45928-6

  • eBook Packages: Springer Book Archive

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