题  目：Normalized ground states and multiplicity result for a mass supercritical NLS with a partial confinement

主讲人：宋林杰

单   位：清华大学

时   间：2025年3月13日 15:30-17:30

腾讯ID：573-659-466

密   码：0313

摘   要：In this talk, we mainly focus on a mass supercritical NLS equation with a partial confinement. Firstly, we study the existence of normalized ground states and obtain an explicit bound below which a ground state indeed exists. We also treat the mass critical case. This is joint work with Ru Yan. Secondly, we show the existence of a second solution, at a mountain pass level, when the mass is not large. This is joint work with Louis Jeanjean and solves an open problem proposed by Bellazzini, Boussaid, Jeanjean and Visciglia (Comm. Math. Phys. 353, 2017, 229-251).

简   介：宋林杰，现为清华大学数学科学系“水木学者”博士后。2023年6月博士毕业于中国科学院数学与系统科学研究院。2023年9月至今在清华大学数学博士后流动站工作，获国家资助博士后研究人员计划B档资助，2024年9月至今于 Universite Marie et Louis Pasteur, LmB (UMR 6623) 访问。主要研究方向为变分法和非线性泛函分析，已在SIAM J. Math. Anal., Math. Z., CVPDE, JDE等杂志上发表论文多篇。主持中国博士后科学基金特别资助项目。