We analyze stable weak solutions to the fractional Geľfand problem (− Δ )su=euinΩ ⊂ Rn. $$\begin{array}{} \displaystyle (-{\it\Delta})^su = e^u\quad\mathrm{in}\quad {\it\Omega}\subset\mathbb{R}^n. \end{array}$$ We prove that the dimension of the singular set is at most n − 10 s .

中文翻译：

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分数Geľfand-Liouville方程稳定解的部分正则性

我们分析分数Geľfand问题（−Δ）su =euinΩ⊂Rn的稳定弱解。$$ \ begin {array} {} \ displaystyle（-{\ it \ Delta}）^ su = e ^ u \ quad \ mathrm {in} \ quad {\ it \ Omega} \ subset \ mathbb {R} ^ n 。\ end {array} $$我们证明了奇异集的维数最多为n-10 s。