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Classification of stationary solutions of the $(4 + 1)$-dimensional radial Yang-Mills equation
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classification
math.AP
keywords
solutionsclassificationclassifyequationradiallysymmetricyang-millsallen-cahn
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abstract
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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