Regularity and quantification for harmonic maps with free boundary

2015/06/02 by Laurain, Paul, Petrides, Romain · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1506.00926

Abstract

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

Cited by

• Free boundary minimal surfaces in products of balls
• Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map
• Regularity estimates on harmonic eigenmaps with arbitrary number of coordinates

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