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Harmonic map heat flow with free boundary

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Commentarii Mathematici Helvetici

Abstract

In this paper, we study the harmonic map heat flow with free boundary from a Riemannian surface with smooth boundary into a compact Riemannian manifold. As a consequence, we get at least one disk-type minimal surface in a compact Riemannian manifold without minimal 2-sphere.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing, People's Republic of China

    Ma Li

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  1. Ma Li
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Li, M. Harmonic map heat flow with free boundary. Comment. Math. Helv. 66, 279–301 (1991). https://doi.org/10.1007/BF02566648

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  • DOI: https://doi.org/10.1007/BF02566648

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