Revista Matemática Iberoamericana
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Published online: 2003-04-30
A partial regularity result for a class of Stationary Yang-Mills Fields in high dimensionYves Meyer and Tristan Rivière (1) ENS-Cachan, Cachan, France
(2) ETH Zürich, Switzerland
We prove, for arbitrary dimension of the base $n\ge 4$, that stationary Yang-Mills Fields satisfying some approximability property are regular apart from a closed subset of the base having zero $(n-4)$-Hausdorff measure.
Keywords: Yang-Mills fields, gauge theory, non-linear elliptic regularity theory, Interpolation inequalities, Morrey spaces
Meyer Yves, Rivière Tristan: A partial regularity result for a class of Stationary Yang-Mills Fields in high dimension. Rev. Mat. Iberoam. 19 (2003), 195-219. doi: 10.4171/RMI/343