A remark on isolated removable singularity of harmonic maps in dimension two

2025/03/17 by Wang, Changyou
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.12804

Abstract

For a ball B_R(0)⊂ℝ², we provide sufficient conditions such that a harmonic map u∈ C^∞(B_R(0)∖\0\, N), with a self-similar bound on its gradient, belongs to C^∞(B_R(0)). Those conditions also guarantee the triviality of such harmonic maps when R=∞.

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