報告題目：Stable solutions to semilinear elliptic equations are smooth up to dimension 9
報告人：Xavier Cabré 教授
所在單位：ICREA (Institució Catalana de Recerca i Estudis Avançats) & Universitat Politècnica de Catalunya
報告時間：2022年11月10日 18：00-19：00
報告地點：ZOOM 5818805979
校内聯系人：魏元鴻 weiyuanhong@jlu.edu.cn
報告摘要：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.
報告人簡介：Xavier教授主要從事偏微分方程、變分法、非線性分析及動力系統的研究。在包括Acta Math.在内的數學重要期刊上公開發表論文70餘篇。
