On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the problem of prescribing the Paneitz curvature on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.
29 pages

Keywords

Analysis of PDEs, Differential Geometry, 35J60, 53C21, 58J05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/73492

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412106
 http://arxiv.org/abs/math/0412106

Collections

arXiv