数学系-偏微分方程中心联合讨论班
Department of Mathematics- Center for PDE
Joint Seminar

报告题目：Standing Waves for Nonlinear Schrodinger Equations with Potentials

演讲人：Dr. Ohsang Kwon, Korean Advanced Institute of Science and Technology, Korea

时间：2011年3月8日（星期二）下午3:40—4:40

地点：华东师大闵行校区数学系102报告厅

摘要：

We consider elliptic equations of the form $\varepsilon _{}^2\Delta u - V(x)u + {u^P} = 0,x \in \Re _{}^N$ whose solutions correspond to semiclassical standing waves for nonlinear Schrodinger equations. The potential V (x) is a determining factor in the existence of solutions and their forms. In this talk, we prove the existence of solutions concentrating around nondegenerate critical points of V which vanishes at infinity. And we investigate the condition of potentials at infinity for the existence of solutions of elliptic systems.