东南大学数学学院邀请专家申请表
报告人 | WOJCIECH KRYSZEWSKI | 单位 | Nicolaus Copernicus University |
报告题目 | GENERALIZED NEHARI MANIFOLD AND SEMILINEAR SCHRÖDINGER EQUATION | ||
报告时间 | 8月30日, 15:00-16:00 | 地点 | 九龙湖数学学院第一报告厅 |
邀请人 | 徐新冬 | ||
报告摘要 | We study the Schrödinger equations u+ V (x)u = f(x; u) in and u-λu = f(x; u)in a bounded domain. We assume that f is superlinear but of subcritical growth and is nondecreasing. In we also assume that V and f are periodic in . We show that these equations have a ground state and that there exist infinitely many solutions if f is odd in u. The results generalize those od Szulkin and Weth, where was assumed to be strictly increasing. This seemingly small change forces us to go beyond methods of smooth analysis. The work is joint with F. de Paiva and A. Szulkin. | ||
报告人简介 | Prof. Wojciech Kryszewski is a professor of Nicolaus Copernicus University, Poland, and a managing editor of the journal: Topological Methods in Nonlinear Analysis published by the Schauder Center for Nonlinear Studies. He is also a director of the Schauder Center for Nonlinear Studies. His main research interests are functional analysis, nonlinear analysis, semigroup theory, nonlinear partial differential equations, and so on. He has published about 60 papers in the journals such as: Trans. Amer. Math. Soc.、Topol. Methods Nonlinear Anal.、SIAM J. Control Optim.、Proc. Amer.Math. Soc.. |