题 目:Construction of normalized solutions of the p-Laplacian equation in RN with Sobolev critical exponent: the p-sublinear case
主讲人:吴元泽 教授
单 位:云南师范大学
时 间:2026年1月30日 9:00
腾讯ID:981-898-730
摘 要:In this talk, I will report our recent result on the construction of normalized solutions of the p-Laplacian equation in RN with Sobolev critical exponent and a p-sublinear perturbation. By introducing some new ideas and techniques, we developed the method of the L2-Pohozaev manifold and as application, we construct two normalized solutions of this equation under some general assumptions, which is even new for the Laplacian case. This talk is based on a joint work with Xinfu Li, Na Liu and Xiangqing Liu.
简 介:吴元泽,云南师范大学教授、博士生导师、云南现代分析与偏微分方程研究中心执行主任、世界华人数学家大会(ICCM)45分钟报告人。获第八届江苏省数学成就奖,在Journal de Mathématiques Pures et Appliquées、Mathematische Annalen、Journal of Functional Analysis、Mathematische Zeitschrift、Journal of the London Mathematical Society等刊物发表论文30余篇,主持国家自然科学基金面上项目等科研项目多项。