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Uniqueness and symmetry results of a mean field equation on torus

2019-08-05 10:00

报告人: 胡烨耀

报告人单位: The University of Texas at San Antonio

时间: 2019-08-05 10:00-11:00

地点: 卫津路校区6号楼111教

开始时间: 10:00

报告人简介: 博士

年: 2019

日月: 08.05

We prove a sharp uniqueness result of a mean field equation on arbitrary flat tori. We first establish the evenly symmetry of the solutions by the newly invented sphere covering inequality. Then we employ a careful nodal line analysis together with a homotopic argument to show the uniqueness.

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