任意维Paneitz-Branson方程的不稳定性
Non-stability of Paneitz-Branson equations in arbitrary dimensions
摘要：
设$(M,g)$是维数为$n\geq 5$的紧致黎曼流形.研究了$M$上的一个次临界Paneitz-Branson型方程的稳定性.假设临界方程存在非退化正解，在适当的条件下，证明了该方程对所有$n\geq 5$都是不稳定的.
英文摘要：
Let $(M,g)$ be a compact riemannian manifold of dimension $n\geq 5$. We are interested in the stability of a slighly subcritical Paneitz-Branson type equation on $M$. 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 $n\geq 5$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
