Accepted Paper
Inserted: 16 feb 2006
Last Updated: 18 jan 2007
Year: 2006
Abstract:
We study the fourth order nonlinear critical problem $\Delta^2 u= u^{2^*-1}$ in a smooth bounded domain $\Omega \subset R^n$, $n \ge 5$, subject to the boundary conditions $u=\Delta u-d u_\nu=0$ on $\partial \Omega$. We provide estimates for the range of parameters $d \in R$ for which this problem admits a positive solution. If the domain is the unit ball, we obtain an almost complete description.
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