Speaker
Luca Briani
(Technische Universität München)
Description
We present a variational definition of the essential spectrum suitable for nonlinear operators such as the Dirichlet p-Laplacian and discuss an extension of Persson's theorem to this framework. Finally, we show that the Ljusternik-Schnirelmann minmax levels of the constrained p-Dirichlet integral are attained whenever one of these levels is below Persson's threshold. This is based on joint works with Lorenzo Brasco, Giovanni Franzina, and Francesca Prinari.
Author
Luca Briani
(Technische Universität München)