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

Accepted Paper
(2010)

Authors: Luca Martinazzi - Mircea Petrache
Journal: Manuscripta Math. [MathSciNet]
Notes: 15 pages
Abstract: For m ł 1 we prove an existence result for the equation (-D_g)^m u+l = le^2mu/(ň_M e^2mudm_g) on a closed Riemannian manifold (M,g) of dimension 2m for certain values of l.

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