Normal conformal metrics on ℝ⁴ with Q-curvature having power-like growth

2020/10/18 by Ali Hyder, Luca Martinazzi, Hyder, Ali +1
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2010.08987

Abstract

Answering a question by M. Struwe (Vietnam J. Math. 2020) related to the blow-up behaviour in the Nirenberg problem, we show that the prescribed Q-curvature equation Δ² u=(1-|x|^p)e^4u in ℝ⁴, Λ:=∫_ℝ⁴(1-|x|^p)e^4udx

Related

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• Normal conformal metrics with prescribed Q-Curvature in ℝ²ⁿ
• "Large" conformal metrics of prescribed Q-curvature in the negative case
• On constant Q-curvature metrics with isolated singularities
• Obstructions to prescribed Q-curvature of complete conformal metrics on ℝⁿ