中科院数学与系统科学研究院

数学研究所

非线性分析研讨班

报告人：Prof. Zhi-Qiang Wang（Utah State University, USA）

题  目：Concentration of nodal solutions for semiclassical NLS

时  间：2019.04.29（星期一），16:00-17:00

地  点：数学院南楼N820室

摘  要：We discuss the existence of localized nodal solutions for the semiclassical nonlinear Schr？dinger equation with the potential V assumed to have a local minimum point P. As $\epsilon \to 0$, we construct an infinite sequence of localized nodal solutions clustered at P and these solutions are of higher topological type in the sense that they are obtained from a minimax characterization of higher dimensional symmetric linking structure. Our method is rather robust without using any non-degeneracy condition.