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

Martinazzi, Luca and Petrache, Mircea. (2010) Existence of solutions to a higher dimensional mean-field equation on manifolds. Manuscripta Mathematica (133). pp. 115-130.

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Official URL: http://edoc.unibas.ch/49901/

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Abstract

For m ≥ 1 we prove an existence result for the equation
(-\Delta_g)^m u+\lambda=\lambda\frac{e^{2mu}}{\int_M e^{2mu}d\mu_g}
on a closed Riemannian manifold (M, g) of dimension 2m for certain values of λ.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik
UniBasel Contributors:Martinazzi, Luca
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Springer
ISSN:0025-2611
e-ISSN:1432-1785
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:15 Jan 2018 10:22
Deposited On:15 Jan 2018 10:22

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