报告题目：

Bifurcation at infinity for elliptic problems on R^N

报告人：

Professor Wojciech Kryszewski

Nicolaus Copernicus University, Poland

报告时间：

9月1日（星期六）上午9:00-11:00

报告地点：

扬州大学数学科学学院38号楼一楼报告厅

主办单位：

扬州大学数学科学学院，欢迎广大师生参加！

Abstract：

In the paper the asymptotic bifurcation of solutions to a parameterized stationary semilinear Schrodinger equation involving a potential of the Kato-Rellich type is studied. It is shown that the bifurcation from infinity occurs if the parameter is an eigenvalue of the hamiltonian lying below the asymptotic bottom of the bounded part of the potential. Thus the bifurcating solution are related to bound states of the corresponding Schrodinger equation. The argument relies on the use of the (generalized) Conley index due to Rybakowski and resonance assumptions of the Landesman-Lazer or sign-condition type.