Chou, Kai-Seng; Geng, Di Asymptotics of positive solutions for a biharmonic equation involving critical exponent. (English) Zbl 0977.35043 Differ. Integral Equ. 13, No. 7-9, 921-940 (2000). Summary: The semilinear biharmonic problem \[ \left\{\begin{aligned} \Delta^2u & = c_0u^{p-\varepsilon},\quad \text{in }\Omega\\ u & >0,\quad \text{in }\Omega\\ u=& \Delta u = 0,\quad \text{on }\partial\Omega.\end{aligned}\right. \] involving critical growth is considered for \(\varepsilon\to 0^+\) 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. Cited in 2 ReviewsCited in 15 Documents MSC: 35J40 Boundary value problems for higher-order elliptic equations 35B45 A priori estimates in context of PDEs 35J60 Nonlinear elliptic equations Keywords:critical growth; bounded convex domain; asymptotic behavior PDFBibTeX XMLCite \textit{K.-S. Chou} and \textit{D. Geng}, Differ. Integral Equ. 13, No. 7--9, 921--940 (2000; Zbl 0977.35043)