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龍薇: 吸引力作用下的質(zhì)量次臨界和超臨界薛定諤方程組

發(fā)布時(shí)間:2025-12-31
點(diǎn)擊:
來(lái)源:數(shù)學(xué)學(xué)院

報(bào)告時(shí)間2026年01月03日(星期六)15:00-17:00

報(bào)告地點(diǎn):翡翠湖校區(qū)科教樓B1710室

報(bào) 告 人:龍薇 教授

工作單位江西師范大學(xué)

舉辦單位:數(shù)學(xué)學(xué)院

報(bào)告簡(jiǎn)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.

報(bào)告人簡(jiǎn)介

龍薇,江西師范大學(xué)教授、博士生導(dǎo)師,主要從事變分法與非線(xiàn)性橢圓方程的研究,在A(yíng)nn. Sc. Norm. Super. Pisa Cl. Sci.、Calc. Var. Partial Differential Equations、Nonlinearity、J. Differential Equations 等學(xué)術(shù)期刊發(fā)表論文40余篇,主持國(guó)家自然科學(xué)基金項(xiàng)目3項(xiàng),主持江西省創(chuàng)新研究群體項(xiàng)目1項(xiàng),入選江西省“杰青”和江西省“雙高”領(lǐng)軍人才計(jì)劃,獲江西省自然科學(xué)獎(jiǎng)二等獎(jiǎng)1項(xiàng)(排名第一)。



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