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龙薇: 吸引力作用下的质量次临界和超临界薛定谔方程组

发布时间:2025-12-31
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来源:数学学院

报告时间2026年01月03日(星期六)15:00-17:00

报告地点:翡翠湖校区科教楼B1710室

报 告 人:龙薇 教授

工作单位江西师范大学

举办单位:数学学院

报告简介

In this talk, we consider normalized solutions for a class of attractive Schr\"odinger systems. For both mass sub-critical and super-critical  cases, by a unified approach, we establish the existence and local uniqueness of normalized multi-peak solutions for the above Schr\"odinger system.

Compared with the previous results, in addition to non-radial potentials and a unified approach to deal with both sub-critical and super-critical cases, another key difference is to build the uniform continuity of the $L^2$-norms of unconstrained solutions with respect to Lagranian multiplier. This is a joint work with Yuke He and Benniao Li.

报告人简介

龙薇,江西师范大学教授、博士生导师,主要从事变分法与非线性椭圆方程的研究,在Ann. Sc. Norm. Super. Pisa Cl. Sci.、Calc. Var. Partial Differential Equations、Nonlinearity、J. Differential Equations 等学术期刊发表论文40余篇,主持国家自然科学基金项目3项,主持江西省创新研究群体项目1项,入选江西省“杰青”和江西省“双高”领军人才计划,获江西省自然科学奖二等奖1项(排名第一)。



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