In this paper, we consider a class of fractional Kirchhoff equations with $L^{2}$ critical exponents. By using the scaling technique and concentration-compactness principle we obtain the existence and nonexistence of ground state for fractional Kirchhoff equation with $L^{2}$ critical exponent.

中文翻译：

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具有\（L ^ {2} \）临界指数的分数基希霍夫方程基态的存在

在本文中，我们考虑一类具有$ L ^ {2} $临界指数的分数阶Kirchhoff方程。通过使用定标技术和浓度紧缩原理，我们获得了具有临界值L ^ {2} $的分数阶Kirchhoff方程基态的存在和不存在。