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arXiv · 1506.00926

Regularity and quantification for harmonic maps with free boundary

Paul Laurain·Romain Petrides
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Abstract

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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Paul Laurain, Romain Petrides. 2015-06-02. Regularity and quantification for harmonic maps with free boundary. https://arxiv.org/abs/1506.00926

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