Normal conformal metrics on R4 with Q-curvature having power-like growth
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.08.014
Abstract: Abstract Answering a question by M. Struwe [26] related to the blow-up behavior in the Nirenberg problem, we show that the prescribed Q-curvature equation Δ 2 u = ( 1 − | x | p… read more here.
Keywords: normal conformal; like growth; power like; metrics curvature ... See more keywords
Nonuniqueness of Conformal Metrics With Constant Q-curvature
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DOI: 10.1093/imrn/rnz045
Abstract: We establish several nonuniqueness results for the problem of finding complete conformal metrics with constant (4th-order) $Q$-curvature on compact and noncompact manifolds of dimension $\geq 5$. Infinitely many branches of metrics with constant $Q$-curvature, but… read more here.
Keywords: nonuniqueness conformal; conformal metrics; metrics constant; infinitely many ... See more keywords