基础数学系学术报告

Normalized solutions of mass supercritical NLS equations on metric graphs

常小军 教授

（东北师范大学)

时间： 2024年11月18日15:00-16:00

地点：腾讯会议：705-838-083

      会议密码：181516

      #会议链接： https://meeting.tencent.com/dm/tBY2tDjPCyuD

摘要: In this talk, we are concerned with the existence of non-trivial bound states of prescribed mass for the mass supercritical nonlinear Schrodinger equation on metric graphs. In recent years, significant progress has been made regarding normalized solutions in the mass-subcritical or critical case. However, the mass supercritical NLSE on metric graphs was essentially untouched. We will present some existence results on mountain pass type normalized solutions in the mass supercritical regime for NLSE on metric graphs. These results are derived from a new minimax theorem with Morse index information for constrained functionals, along with a blow-up analysis of bound states with prescribed mass and bounded Morse index.

邀请人：阮元龙

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