报告题目: Saddle solutions for the nonlinear Choquard equation

报 告 人: 夏健康 博士（西北工业大学）

报告时间: 2022-10-18 14：30-15：30 (周二下午)

报告地点: 腾讯会议 ID：333 181 138

摘要: In this talk, I will report some results on the entirely nodal solutions for the nonlinear Choquard equation. By introducing the Coxeter symmetries, we construct saddle solutions for this nonlocal equation. These saddle solutions illustrate the nonlocal feature of the Choquard equation and in contrast the local counterpart of fractional Schr\"odinger equation can not have such type solutions. Particularly, we prove that the fractional Choquard equation also admits such type nodal solutions.

报告人简介: 夏健康，理学博士，西北工业大学讲师、硕士生导师。研究方向：非线性分析与偏微分方程。主要研究非线性变分问题的变号解存在性及其相关性质等。目前主持国家自然科学基金青年项目1项。研究成果发表在Calc. Var. PDE, J. Differential Equations等学术期刊上。

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