报告题目:A sharp anisotropic Onofri inequality and Liouville theorem for anisotropic p-Laplacian equations in RN
报告人:窦井波教授
报告时间:2026年6月12日(星期五)下午14:30
报告地点:卓越楼135
报告摘要:
In this talk, we present a sharp anisotropic Onofri inequality in RN and discuss the classification of its extremal function. To this end, we classify solutions to the anisotropic quasi-linear Liouville equation in RN, which is closely related to the Euler-Lagrange equation of Onofri inequality. In virtue of the invariant tensor technique, we present an alternative approach to establishing the Serrin-Zou type identity, thereby providing an alternative method for proving the classification results. This is a joint work with Tian Wu and Shuang Yuan.
报告人简介:
窦井波,教授,博士生导师。现为陕西师范大学数学与统计学院教授。研究方向是偏微分方程理论及其应用。近年来与多位合作者集中研究最优几何不等式及其椭圆方程解的存在性等问题。在Adv. Math.,J. Func. Anal.,Inter. Math. Res. Notices, Calc. Var. PDE, J. Diff. Equ.等国际学术期刊上发表学术论文40余篇;主持国家自然科学基金4项,2019 年获陕西省杰出青年科学基金项目,2022年获陕西高校青年创新团队项目。
