Classification of stationary solutions of the $(4 + 1)$-dimensional radial Yang-Mills equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912531704971264 |
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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 |