English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we derive a refined asymptotic expansion, near an isolatedsingularity, for conformally flat metrics with constant positive Q-curvatureand positive scalar curvature. The condition that the metric has constantQ-curvature forces the conformal factor to satisfy a fourth order nonlinearpartial differential equation with critical Sobolev growth, whose leading termis the bilaplacian. We model our results on a similar asymptotic expansion forconformally flat, constant scalar curvature metrics proven by Korevaar, Mazzeo,Pacard, and Schoen. Along the way we analyze the linearization of theQ-curvature equation about the Delaunay metrics recently discovered by Frankand K\"onig, which may be of independent interest.

On constant Q-curvature metrics with isolated singularities