讲座名称：Classification of solutions of an equation related to a conformal log Sobolev inequality

主讲人：唐晗力

时间：2021年5月25日    下午14:30

地点：腾讯视频会议（ID：519 160 300）

主办单位：数学科学学院

报告摘要

We classify all finite energy solutions of an equation which arises as the Euler–Lagrange equation of a conformally invariant logarithmic Sobolev inequality on the sphere due to Beckner. Our proof uses an extension of the method of moving spheres from R^n to S^n and a classification result of Li and Zhu. Along the way we prove a small volume maximum principle and a strong maximum principle for the underlying operator which is closely related to the logarithmic Laplacian. This is a joint work with Prof. Frank and Dr. Konig.

专家简介

唐晗力，北京师范大学副教授。本硕博毕业于北京师范大学。主要研究调和分析中的分数次积分算子算子以及不等式最佳常数等相关问题。已在Adv. in Math., JGA. Potential. Analysis.等国际著名期刊发表SCI论文十余篇。曾访问德国慕尼黑大学一年，合作导师为国际著名数学家R.Frank。