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Auteurs principaux: Li, Kui, Zhang, Zhitao
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2407.13034
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author Li, Kui
Zhang, Zhitao
author_facet Li, Kui
Zhang, Zhitao
contents We classify the solutions of the planar weighted Allen-Cahn equation arising from the critical equivariant $SO(4)$ Yang-Mills problem. We first give a complete classification for radially symmetric solutions, and then without symmetry assumptions, we show bounded classical solutions are radially symmetric and also classify them.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13034
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Classification of stationary solutions of the $(4 + 1)$-dimensional radial Yang-Mills equation
Li, Kui
Zhang, Zhitao
Analysis of PDEs
We classify the solutions of the planar weighted Allen-Cahn equation arising from the critical equivariant $SO(4)$ Yang-Mills problem. We first give a complete classification for radially symmetric solutions, and then without symmetry assumptions, we show bounded classical solutions are radially symmetric and also classify them.
title Classification of stationary solutions of the $(4 + 1)$-dimensional radial Yang-Mills equation
topic Analysis of PDEs
url https://arxiv.org/abs/2407.13034