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This article is available for purchase or by subscription. See below.
Abstract
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Let
be a compact Riemannian manifold of dimension
with nonnegative scalar curvature and semipositive Q-curvature. Assume
is not
conformally equivalent to the standard sphere. If a prescribed positive smooth function
is flat
up to
order at some maximum point, there exists a conformal metric
such
that
.
This is a natural higher order version of the result of Escobar and Schoen
(1986).
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Keywords
prescribed Q-curvature, Paneitz operator
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Mathematical Subject Classification
Primary: 35J35, 53C21
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Milestones
Received: 16 September 2021
Accepted: 4 June 2022
Published: 28 August 2022
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