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Heat flows and harmonic maps with a free boundary

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References

  • [B] Baldes, A., Harmonic mappings with a partially free boundary, Man. Math. 40(1982), 255–275;

    Article  MATH  MathSciNet  Google Scholar 

  • [C] Cheng, S. Y., Liouville theorem for harmonic maps. Proc. Sympos Pure Math. 36(1980), 147–151;

    Google Scholar 

  • [C-M] Chen, Y. and Musina, R., Harmonic mappings into manifolds with boundary, Preprint, ICTP Trieste 1989;

  • [Ch] Choi, H.I., On the Liouville theorem for harmonic maps, Proc. Amer. Math. Soc. 85(1982), 91–94;

    Article  MATH  MathSciNet  Google Scholar 

  • [E-S] Eells, J. and Sampson, J. H., Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86(1964), 109–169;

    Article  MATH  MathSciNet  Google Scholar 

  • [G-J] Gulliver, R. and Jost, J., Harmonic maps which solve a free-boundary problem, J. Reine Angew. Math. 381(1987), 61–89;

    MATH  MathSciNet  Google Scholar 

  • [H] Hamilton, R., Harmonic Maps of Manifolds With Boundary, Lect. Notes in Math. 471, Springer-Verlag, Berlin, (1974);

    Google Scholar 

  • [Hi] Hildebrandt, S., Harmonic mappings of Riemannian manifolds, Harmonic Maps and Minimal Immersions (Montecatini 1984), Lect. Notes in Math. 1161, Springer-Verlag, Berlin;

  • [H-K-W] Hildebrandt, S., Kaul, H. and Widman, K-O., An existence theorem for harmonic mappings of Riemannian manifolds. Acta Math. 138(1977), 1–16;

    Article  MATH  MathSciNet  Google Scholar 

  • [J] Jost, J., Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses. Man. Math. 34(1981), 17–25;

    Article  MATH  MathSciNet  Google Scholar 

  • [L] Li, J., The heat flows and harmonic maps from complete manifolds into generalized regular balls, preprint.

  • [M] Ma, L., Harmonic map heat flow with free boundary, Preprint, ICTP Trieste 1990;

  • [S1] Struwe, M., The existence of surfaces of constant mean curvature with free boundaries, Acta Math. 160 (1988), 19–64;

    Article  MathSciNet  Google Scholar 

  • [S2] Struwe, M., The evolution of harmonic mappings with free boundaries, Manuscr. Math. 70(1991), 373–384;

    Article  MATH  MathSciNet  Google Scholar 

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  1. Section of Mathematics, International Centre for Theoretic Physics, P.O. Box 586, I-34100, Trieste, Italy

    Jiayu Li

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  1. Jiayu Li
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Li, J. Heat flows and harmonic maps with a free boundary. Math Z 217, 487–495 (1994). https://doi.org/10.1007/BF02571957

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  • DOI: https://doi.org/10.1007/BF02571957

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