Preprint 32/1997

Existence results for mean field equations

Weiyue Ding, Jürgen Jost, Jiayu Li, and Guofang Wang

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Submission date: 23. Oct. 1997 (revised version: December 1997)
Pages: 13
published in: Annales de l'Institut Henri Poincaré / C, 16 (1999) 5, p. 653-666 
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Let img1 be an annulus. We prove that the mean field equation


admits a solution for img49. This is a supercritical case for the Moser-Trudinger inequality.

24.11.2021, 02:10