演讲人：赵亮（北京师范大学）
讲座时间：2017-04-20 10:00:00
讲座地点：信息楼257会议室
讲座内容
摘要：We introduce the nonlinear Schr"{o}dinger equation on a locally finite graph. Via the Nehari method, if $a(x)$ satisfies certain assumptions, for any $lambda>0$, we show that the equation admits a positive ground state solution. Moreover, for $lambdarightarrow infty$, the solution $u_lambda$ converges to a solution of the limit Dirichlet problem which is defined on the potential well. We also provide a numerical result for an example to illustrate our results.