Monotonicity trick in nonsmooth critical point theory and its application
主 讲 人 ：Norihisa Ikoma 助理教授
活动时间：01月06日09时30分
地 点 ：Zoom： 639 6181 7206 密码： 090452
讲座内容：
A motonicity trick due to Struwe and Jeanjean is a powerful tool for functionals of class $C^1$ when it is hard to check the Palais-Smale condition. However, some functionals corresponding to equations appearing in physics or geometry are not of class $C^1$. Szulkin extended the mountain pass and symmetric mountain pass theorem due to Ambrosetti and Rabinowitz into nonsmooth functionals. The aim of this talk is to provide an extension and an application of the monotonicity trick for nonsmooth functionals in a setting which is close to Szulkin's one. In particular, we consider Born-Infeld type equations and prove the existence of infinitely many solutions. This talk is based on joint work with Jaeyoung Byeon, Andrea Malchiodi and Luciano Mari.
主讲人介绍：
Norihisa Ikoma is an associate professor in the Department of Mathematics of Keio University. His research is about variational methods, critical point theory, nonlinear elliptic differential equations and geometric analysis.
