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arXiv · 1911.11891

Singular solutions for the constant $Q$-curvature problem

Ali Hyder·Yannick Sire
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Abstract

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.

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Ali Hyder, Yannick Sire. 2019-11-27. Singular solutions for the constant $Q$-curvature problem. https://doi.org/10.1016/j.jfa.2020.108819

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