Vol. 319, No. 1, 2022

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
A note on prescribed Q-curvature

Mingxiang Li

Vol. 319 (2022), No. 1, 181–188
Abstract

Let (M,g) be a compact Riemannian manifold of dimension 5 n 7 with nonnegative scalar curvature and semipositive Q-curvature. Assume (M,g) is not conformally equivalent to the standard sphere. If a prescribed positive smooth function f is flat up to n 4 order at some maximum point, there exists a conformal metric g~ = u4(n4)g such that Qg~ = f. This is a natural higher order version of the result of Escobar and Schoen (1986).

PDF Access Denied

We have not been able to recognize your IP address 3.239.11.178 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
prescribed Q-curvature, Paneitz operator
Mathematical Subject Classification
Primary: 35J35, 53C21
Milestones
Received: 16 September 2021
Accepted: 4 June 2022
Published: 28 August 2022
Authors
Mingxiang Li
Department of Mathematics
Nanjing University
Nanjing
China