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arXiv · 2603.29810

Partial regularity for minimizing constraint maps for the Alt-Phillips energy

Rada Ziganshina
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Abstract

In this paper, we establish an $\varepsilon$-regularity theorem for minimizers of an Alt-Phillips type functional subject to constraint maps. We prove that under sufficiently small energy, the minimizers exhibit regularity, and hence proving the smoothness of these maps. From here, we bootstrap to optimal regularity.

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Rada Ziganshina. 2026-03-31. Partial regularity for minimizing constraint maps for the Alt-Phillips energy. https://arxiv.org/abs/2603.29810

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