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Existence for VT-harmonic maps from compact manifolds with boundary

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Abstract

We consider a kind of generalized harmonic maps, namely, the VT-harmonic maps. We prove an existence theorem for the Dirichlet problem of VT-harmonic maps from compact manifolds with boundary.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 11971358). The second author thanks the Max-Planck Institute for Mathematics in the Sciences for good working conditions when part of this work was carried out.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Xiangzhi Cao & Qun Chen

  2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing, 211171, China

    Xiangzhi Cao

Authors
  1. Xiangzhi Cao
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  2. Qun Chen
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Correspondence to Qun Chen.

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Cao, X., Chen, Q. Existence for VT-harmonic maps from compact manifolds with boundary. Sci. China Math. 65, 2371–2378 (2022). https://doi.org/10.1007/s11425-020-1941-4

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  • DOI: https://doi.org/10.1007/s11425-020-1941-4

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