2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67730In this paper we consider a fourth order equation involving the critical Sobolev exponent on a bounded and smooth domain in $\R^6$. Using theory of critical points at infinity, we give some topological conditions on a given function defined on a domain to ensure some existence results.14 pagesAnalysis of PDEs35J60, 35J65, 58E05text