This paper is devoted to the construction of weak solutions to the singular constant $Q-$curvature problem. We build on several tools developed in the last years. This is the first construction of singular metrics on closed manifolds of sufficiently large dimension with constant (positive) $Q-$curvature.

中文翻译：

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恒定 Q 曲率问题的奇异解

本文致力于构建奇异常数$Q-$曲率问题的弱解。我们以过去几年开发的几种工具为基础。这是在具有恒定（正）$Q-$曲率的足够大维度的闭合流形上首次构造奇异度量。