On Paneitz-type equation in six-dimensional domains. (Q873249)

Let \(\Omega \) be a smooth bounded domain of \(R^n\) with \(n\geq 5\) and \(p=(n+4)/(n-4)\). The problem \(\Delta ^2 =Ku^p\) in \(\Omega \), \(u>0\) in \(\Omega \), \(u=\Delta u=0\) on \(\partial \Omega \) is studied. The sufficient condition on \(K\) for the existence of a solution of the problem are stated.