报告题目：Multi-peak Positive Solutions to a Class of Kirchhoff Equations

主 讲 人：王 春 花

单 位：华中师范大学

时 间：12月7日15:00

腾 讯 ID：500 887 139

摘 要：

We mainly consider a nonlocal Kirchhoff problem with a small parameter. Under some mild assumptions on the potential function, we obtain multi-peak solutions for the parameter sufficiently small by Lyapunov-Schmidt reduction method. Even though many results on single peak solutions to singularly perturbed Kirchhoff problems have been derived by various methods, there exist no results on multi-peak solutions before our work, due to some difficulties caused by the nonlocal term. A remarkable new feature of this problem is that the corresponding unperturbed problem turns out to be a system of partial differential equations, but not a single Kirchhoff equation, which is quite different from most of elliptic singular perturbation problems. This is based on a joint work with Peng Luo, Prof. Shuangjie Peng and Changlin Xiang.

简 介：

王春花，华中师范大学副教授、硕士生导师。主要从事非线性椭圆方程（组）解的存在性及解的性态、非线性泛函分析等研究。在国际刊物上发表SCI论文30余篇，主持国家课题青年基金一项、面上项目两项。其部分研究成果发表在J. Funct. Anal.、Calc. Var. Partial Differential EquationsJ. Differential Equations等刊物上。