Given an asymptotically hyperbolic manifold with minimal conformal infinity, we construct blowing-up solutions for linear perturbations of the fractional Yamabe problem on the conformal infinity provided that either the trace-free part of the second fundamental form or the covariant normal derivative of the normal component of the Ricci tensor on the conformal infinity is non-trivial.

中文翻译：

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极小共形无穷大上分数阶Yamabe问题的线性摄动

给定渐近双曲型流形，其共形无穷小，我们构造了分数次Yamabe问题在线性无微分上的线性扰动的爆破解，条件是第二基本形式的无迹线部分或正态分量的协变正态导数共形无穷大的Ricci张量的平凡是不平凡的。