Calculus of Variations and Geometric Measure Theory
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L. Martinazzi - M. Petrache

Existence of solutions to a higher dimensional mean-field equation on manifolds

created by martinazz on 29 Jan 2010
modified on 22 Jul 2010

[BibTeX]

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 $\lambda$.


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