A mean field equation with symmetry on torus

作者：Wang Meng^*

来源：Science China Mathematics, 2011, 54(10): 2205-2211.

DOI：10.1007/s11425-011-4271-0

• mean field equation
• torus
• blow up

Let T(2) be a flat two-dimensional torus with fundamental cell domain[-1/2, 1/2] x [-1/2, 1/2], h(x) a positive smooth function satisfying the symmetric property (8) on T(2). In this paper we give some sufficient condition under which the mean field equation.u = 16 pi - 16 pi he(u), has a smooth solution.

• 出版日期2011-10
• 单位浙江大学