Minbo YangZhejiang Normal University
Le 6 févr. 2025
Titre :
On some nonlinear variational problems related to the critical Hartree equation
Résumé :
In this talk we will introduce several different variational models related to the critical Hartree equation. Firstly, we mainly foucus on soem variations of the classical Hardy-Littlewood-Sobolev inequality and its weighted case. Secondly, we will introduce the qualitative analysis of the critical Hartree equation and its applications in the study of the stability of a nonlocal version of Sobolev inequality and the asymptotic behavior of solutions of the nonlocal critical Hartree equations. This talk is based on several papers by Xiang Li, Fashun Gao, Vitaly Moroz, Weiwei Ye and Shuneng Zhao.
