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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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.
(-\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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