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The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions. (English) Zbl 0544.35082
An elementary proof of the removable point singularity theorem is given in dimensions \(n\geq 5\). A gradient estimate on curvature is obtained in the neighborhood of the possible singularity by making an appropriate choice of test function. Subelliptic theory and the Morrey-Moser iteration are used to show that the curvature is bounded. Standard elliptic theory then implies that the solution of the field equations is gauge equivalent to a smooth configuration.

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
35A20 Analyticity in context of PDEs
81T08 Constructive quantum field theory
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References:
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