Elliptic functions, Green functions and the mean field equations on tori
نویسندگان
چکیده
منابع مشابه
Elliptic Functions, Green Functions and the Mean Field Equations on Tori
We show that the Green functions on flat tori can have either 3 or 5 critical points only. There does not seem to be any direct method to attack this problem. Instead, we have to employ sophisticated non-linear partial differential equations to study it. We also study the distribution of number of critical points over the moduli space of flat tori through deformations. The functional equations ...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2010
ISSN: 0003-486X
DOI: 10.4007/annals.2010.172.911