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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.