Non-stability of Paneitz-Branson equations in arbitrary dimensions
Analysis of PDEs
2014-01-21 v1
Abstract
Let be a compact riemannian manifold of dimension . We are interested in the stability of a slighly subcritical Paneitz-Branson type equation on . 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 .
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}
}