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

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bevictor伟德官网第一报告厅

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..