English

Non-stability of Paneitz-Branson equations in arbitrary dimensions

Analysis of PDEs 2014-01-21 v1

Abstract

Let (M,g)(M,g) be a compact riemannian manifold of dimension n5n\geq 5. We are interested in the stability of a slighly subcritical Paneitz-Branson type equation on MM. Assuming that there exists a positive nondegenerate solution of the critical equation and under suitable conditions, we prove that this equation is not stable for all n5n\geq 5.

Keywords

Cite

@article{arxiv.1401.4549,
  title  = {Non-stability of Paneitz-Branson equations in arbitrary dimensions},
  author = {Laurent Bakri and Jean-Baptiste Castéras},
  journal= {arXiv preprint arXiv:1401.4549},
  year   = {2014}
}
R2 v1 2026-06-22T02:48:50.401Z