In this paper a semilinear biharmonic problem involving critical growth is considered on a bounded convex domain. Rather complete results are obtained for the asymptotic behavior of positive solutions. The similar problem for the Laplacian was studied by Han, Rey and other authors.
"Asymptotics of positive solutions for a biharmonic equation involving critical exponent." Differential Integral Equations 13 (7-9) 921 - 940, 2000. https://doi.org/10.57262/die/1356061204