鱼虾蟹游戏

题    目：Infinitely many multi-bump solutions to the logarithmic scalar field equation

主讲人：刘天昊

单    位：北京应用物理与计算数学研究所

时    间：2025年7月4日 17:00

地    点：鱼虾蟹游戏 一楼报告厅

摘    要：In this talk, we present some recent progress on the existence and multiplicity of multi-bump solutions for the logarithmic scalar field equation. We establish that both the unconstrained problem and the normalized problem admit infinitely many multi-bump solutions, which may be positive, negative, or sign-changing. Moreover, we also describe the shape of theses solutions. The proofs are based on purely variational methods, with key ingredients including the max-min argument, localized variational techniques, and non-smooth critical point theory. This is a joint work with Juncheng Wei and Wenming Zou.

简    介：刘天昊，2024年博士毕业于清华大学数学科学系，主要从事非线性偏微分方程和非线性泛函分析的研究，相关成果发表于 J. Differential Equations、J. Geom. Anal.、Manus. Math.等国际期刊，现主持中国博士后科学基金项目一项。