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新2会员手机管理端青年博士论坛-15

时间:2022-10-31 17:53:46 来源: 作者:郑重 阅读:

报告题目: Constraint minimizers of Kirchhoff-Schrödinger energy functionals with L2-subcritical perturbation

报告人:  朱新才 博士

报告时间: 2022112914301515

报告地点: 新2会员手机管理端315报告厅

报告摘要: In this talk, we concern with the constrained minimization problem of a Kirchhoff-Schrödinger energy functional under an L2-subcritical subcritical perturbation. The existence and nonexistence of constraint minimizers are completely classified in terms of the L2- subcritical exponent. Especially for q(4/3, 8/3), we prove that there exists a critical value β* such that minimization problem has no minimizer if the coefficient β of L2-critical term satisfies β=β*. For q(4/3, 8/3), the blow-up behavior of minimizers as ββ* are also analyzed rigorously if the coefficient λ of L2-subcritical term satisfies λ>λ0, where λ0  is a positive constant.

朱新才, 博士, 2018年获得中国科学院大学武汉物理与数学研究所应用数学博士学位, 主要从事偏微分方程领域的二阶椭圆型方程的约束变分问题, 目前主持国家自然科学基金青年项目1, ZAMPCPAAAA等国际期刊发表学术论文8.


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