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Boundary Regularity of Harmonic maps from $RCD(K,N)$-space to $CAT(0)$-space

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arxiv 2402.19179 v1 pith:WBOGXRTT submitted 2024-02-29 math.DG

classification math.DG
keywords boundaryharmonicmapsmetricregularityspacespacesestablish
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abstract

We establish the boundary regularity of harmonic maps from $RCD(K, N)$ metric measure spaces into $CAT(0)$ metric spaces.

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Cited by 1 Pith paper

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  1. An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces

    math.AP 2025-02 conditional novelty 2.0 of 10

    A survey of regularity estimates for the Laplacian and p-Laplacian on metric measure spaces, with a proof overview of the author's second-order regularity theorem in bounded RCD spaces.

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