学术报告:2018年8月30日15:00-16:00,WOJCIECH KRYSZEWSKI,Nicolaus Copernicus University

发布时间:2018-08-22浏览次数:95

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

830日,

1500-1600

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..