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A brief introduction to the regularity theory of minimising harmonic maps

Li, Siran
arXiv (All) · Papers
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35b65analysis-of-pdes
We introduce various classical, foundational results on the regularity theory of harmonic maps, with focuses on the energy minimising harmonic maps. Topics include inner and outer variations, the monotonicity identity, the $\varepsilon$-regularity theorem, blow-ups and tangent maps, and the dimensio
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