Abstract
In this paper, we consider the equation $\Delta ^2 u=K u^5$, $u>0$ in $\Omega$, $u=\Delta u=0$ on $\partial\Omega$, where $K$ is a positive function and $\Omega$ is a bounded and smooth domain in $\mathbb R^6$. Using the theory of critical points at infinity, we give some topological conditions on $K$ to ensure some existence results.
Citation
Hichem Chtioui. Khalil El Mehdi. "On a Paneitz-type equation in six-dimensional domains." Differential Integral Equations 17 (5-6) 681 - 696, 2004. https://doi.org/10.57262/die/1356060355
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