时间：2025年8月18日（周一）14:00-15:00
地点: E4-233
报告人：Yang Zhou, Chinese University of Hong Kong
讲座主题: Concentrated solutions to nonlinear Schrӧdinger equations with very degenerate potentials
讲座摘要: We study the singularly perturbating Schrӧdinger equations with potential function . We obtain a more accurate location for the concentrated points, the existence and the local uniqueness for positive -peak solutions when possesses non-isolated critical points by using the modified finite dimensional reduction method based on local Pohozaev identities. Moreover, for several special potentials, with its critical point set being a low-dimensional ellipsoid, or a part of hyperboloid of one sheet or two sheets, we obtain the number and symmetry of -peak solutions by using local uniqueness of concentrated solutions. This is a joint work with Peng LUO, Shuangjie PENG and Kefan PAN.
