邀请人：李沁峰

报告人： 张程翔（北京师范大学）

报告题目：Multiple bump solutions to logarithmic scalar field equations

报告摘要：We construct multi-bump positive and nodal solutions to the logarithmic scalar field equation by the Lyapunov-Schmidt reduction. The main difficulties to apply Lyapunov-Schmidt reduction to logarithmic scalar equations are caused by the non-lipschitzian property of the logarithmic nonlinearity. To overcome these difficulties, we develop a new approach to carry out the Lyapunov-Schmidt reduction, which can be used to construct not only positive but also nodal solutions to the logarithmic equations. Finally, both infinitely many positive and infinitely many nodal solutions with an arbitrarily large number of bumps are constructed for scalar field equations when the potential satisfies different proper decay conditions.

报告时间：2022/11/16（星期三） 15:30-16:30

腾讯会议：810-803-618