## Differential and Integral Equations

### On a Paneitz-type equation in six-dimensional domains

#### 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.

#### Article information

Source
Differential Integral Equations Volume 17, Number 5-6 (2004), 681-696.

Dates
First available in Project Euclid: 21 December 2012