English

Regularity and quantification for harmonic maps with free boundary

Analysis of PDEs 2015-06-03 v1

Abstract

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

Keywords

Cite

@article{arxiv.1506.00926,
  title  = {Regularity and quantification for harmonic maps with free boundary},
  author = {Paul Laurain and Romain Petrides},
  journal= {arXiv preprint arXiv:1506.00926},
  year   = {2015}
}
R2 v1 2026-06-22T09:45:54.041Z