报告题目：Stable solutions to semilinear elliptic equations are smooth up to dimension 9

报告人：Xavier Cabré 教授

所在单位：ICREA (Institució Catalana de Recerca i Estudis Avançats) & Universitat Politècnica de Catalunya

报告时间：2022年11月10日 18：00-19：00

报告地点：ZOOM 5818805979

校内联系人：魏元鸿 weiyuanhong@jlu.edu.cn

报告摘要：In order to prove our result on the regularity of stable solutions up to the boundary we will be forced to work with nonlinearities f that are only locally Lipschitz (and not necessarily C^{1}). Hence, it is important for us to extend the definition of stability to this class of nonlinearities. For this, we need to choose a precise representative for f’. We introduce the relevant definitions and some technical lemmata. A universal bound on the L^{1} norm is also given for proving the main results.

报告人简介：Xavier教授主要从事偏微分方程、变分法、非线性分析及动力系统的研究。在包括Acta Math.在内的数学重要期刊上公开发表论文70余篇。