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arxiv: 2407.13034 · v2 · pith:2EXUEYEN · submitted 2024-07-17 · math.AP

Classification of stationary solutions of the (4 + 1)-dimensional radial Yang-Mills equation

Kui Li , Zhitao Zhang This is my paper

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classification math.AP
keywords solutionsclassificationclassifyequationradiallysymmetricyang-millsallen-cahn
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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.

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