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.

(-\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 |
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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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