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arXiv · 2605.06128

Uniform small energy regularity for fractional geometric problems

Marco Badran·Giacomo Cozzi
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Abstract

We prove small energy regularity for a parabolic boundary reaction Ginzburg-Landau problem in the full range $s\in (0,1)$, answering a question posed by Hyder, Segatti, Sire and Wang. We also obtain a similar small energy regularity result for fractional harmonic maps to spheres. Both results are uniform as $s\to 1$.

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Marco Badran, Giacomo Cozzi. 2026-05-07. Uniform small energy regularity for fractional geometric problems. https://arxiv.org/abs/2605.06128

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