*Accepted Paper*

**Inserted:** 29 jan 2010

**Last Updated:** 22 jul 2010

**Journal:** Manuscripta Math.

**Year:** 2010

**Notes:**

15 pages

**Abstract:**

For $m\geq 1$ we prove an existence result for the equation $(-\Delta_g)^m u+\lambda=\lambda e^{2mu}/(\int_M e^{2mu}d\mu_g)$ on a closed Riemannian manifold $(M,g)$ of dimension $2m$ for certain values of $\lambda$.

**Download:**