數學(xué)與統計學(xué)院青年博士論壇-15
報告題目: Constraint minimizers of Kirchhoff-Schr?dinger energy functionals with L2-subcritical perturbation
報告人: 朱新才 博士
報告時(shí)間: 2022年11月29日14:30—15:15
報告地點(diǎn): 數學(xué)與統計學(xué)院315報告廳
報告摘要: In this talk, we concern with the constrained minimization problem of a Kirchhoff-Schr?dinger 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年獲得中國科學(xué)院大學(xué)武漢物理與數學(xué)研究所應用數學(xué)博士學(xué)位, 主要從事偏微分方程領(lǐng)域的二階橢圓型方程的約束變分問(wèn)題, 目前主持國家自然科學(xué)基金青年項目1項, 在ZAMP、CPAA、AA等國際期刊發(fā)表學(xué)術(shù)論文8篇.