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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 WangUtah State University, USA

 Concentration of nodal solutions for semiclassical NLS

  2019.04.29(星期一),16:00-17:00

  点:数学院南楼N820

  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.

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