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arxiv: 1506.00926 · v1 · pith:WMPGKUQLnew · submitted 2015-06-02 · 🧮 math.AP

Regularity and quantification for harmonic maps with free boundary

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keywords boundaryfreeharmonicmapsquantificationarbitraryballbounded
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We prove a quantification result for harmonic maps with free boundary from arbitrary Riemannian surfaces into the unit ball of ${\mathbb R}^{n+1}$ with bounded energy. This generalizes results obtained by Da Lio on the disc.

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