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• W2899028082 abstract "We consider minimizing harmonic maps from $Omega subset mathbb{R}^3$ into the unit sphere $mathbb{S}^2$ and extend Almgren and Lieb's linear law on the bound of the singular set as well as Hardt and Lin's stability theorem for singularities. Both results are shown to hold with weaker hypotheses, i.e., only assuming that the trace of our map lies in the fractional space $W^{s,p}$ with $s in (frac{1}{2},1]$ and $p in [2,infty)$ satisfying $sp geq 2$." @default.
• W2899028082 created "2018-11-09" @default.
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• W2899028082 date "2018-11-01" @default.
• W2899028082 modified "2023-09-27" @default.
• W2899028082 title "On the size of the singular set of minimizing harmonic maps into the sphere in dimension three" @default.
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