走向现代数学学术报告 - 夏健康副教授（No. 860)

报告题目：Saddle solutions for the nonlinear Choquard equation

报告时间：2025年11月17日 10:30

报告地点：东海岸校区-D实209

报 告 人：夏健康 副教授（西北工业大学）

邀 请 人：王大斌、谢华飞

报告摘要：In this talk, I will briefly review the research progress in the study of sign-changing solutions for the nonlinear Choquard equation. I will then present our recent results on saddle-shaped solutions for the sublinear Choquard equation. These results were achieved by establishing the polynomial decay properties of sign-changing solutions and utilizing the action of the Coxeter symmetry group. Our recent finding addresses a key issue that remained unresolved in previous studies. This series of work was developed jointly with Professor Zhi-Qiang Wang from Utah State University, Professor Chengxiang Zhang from Beijing Normal University and Professor Xu Zhang from Central South University.

报告人简介：夏健康，西北工业大学数学与统计学院副教授、博士生导师。主要研究非线性分析与偏微分方程，当前主要研究非线性变分问题整体解特别是变号解的存在性及其相关性质，主要成果发表在SIAM J. Math. Anal., Calc. Var. PDE, J. Differential Equations等学术期刊上。先后主持国家自然科学基金面上、青年项目等。