Spectrum of the p−Laplacian on general open setsOberseminar Analysis

Thursday Nov 12, 2026, 2:15 PM → 4:15 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

We present a variational definition of the essential spectrum suitable for nonlinear operators such as the Dirichlet p-Laplacian. 
We then provide a geometric characterisation of the bottom of the essential spectrum by extending 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 work with Lorenzo Brasco, Giovanni Franzina, and Francesca Prinari.