2020年度BETVLCTOR伟德官方网站外请专家学术报告之十一
报告题目:Local and global gradient estimates for Finsler p-eigenfunctions
报告人:夏巧玲 副教授
报告时间:2020年6月6日(周六)16:00—17:00
报告摘要:In this talk, we shall introduce p-Laplacian and the p-eigenvalue problem on Finsler manifolds. In particular we will introduce the local and global estimates of the p-eigenfunctions (resp. p-harmonic functions) on a complete Finsler manifold with the weighted Ricci curvature bounded from below and their applications. As a by-product of the global estimate, we obtain the uniform upper bound estimate of the first p-eigenvalue and study rigidity of Finsler manifolds with the first p-eigenvalue achieving its maximum value.
个人简介:夏巧玲,浙江大学数学学院副教授、硕士生导师。长期从事几何学的教学和研究,已经在 Communications in Analysis and Geometry, Journal of Geometric Analysis, Science China. Mathematics, Journal of Geometry and Physics 等杂志上发表30多篇研究论文。已主持2项国家自然科学基金面上项目和3项浙江省自然科学基金面上项目。