Asymptotics for singular solutions to conformally invariant fourth order systems in the punctured ball (Q6635644)

This manuscript is concerned with the equation \(\Delta^2 u_i=c(n)|\mathcal{U}|^{2n/(n-4)} u_i\) in \(B_R\setminus\{0\}\), \(n\geq 5\), where \(\mathcal{U}=(u_1, u_2, \dots, u_p)\), \(p\geq 1\), \(|\mathcal{U}|=(\sum_{i=1}^p u_i^2)^{1/2}\) and \(c(n)=\frac{n(n-4)(n^2-4)}{16}\). The authors obtain various properties relatd to the asymptotic behavior of solutions around the singularity at the origin. Their approach relies on asymptotic analysis, scaling and blow-up methods, techniques in minimnal surfaces combined with various properties of the liearized differential operator.