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: 2022年11月29日14：30—15：15

报告地点: 数学与统计学院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 β→β* 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项, 在ZAMP、CPAA、AA等国际期刊发表学术论文8篇.