Speaker: Jacopo Schino

Institute of Mathematics of the Polish Academy of Sciences, Poland

Date: October 28, 2021 at 16:15 Santiago time

Abstract: I will present a multiplicity result for the mixed dispersion non-linear Schrödinger equation

\[\Delta^2u−\beta \Delta u=g(u), \qquad \mbox{in}\quad\mathbb{R}^N \]

focusing on the case N \geq 5, where the non-linearity $g\colon\mathbb R\to \mathbb R$ satisfies assumptions in the spirit of Berestycki & Lions.After showing some compactness results, I will demonstrate how the variational approach of [1], which makes use of auxiliary functionals, can be used for this problem.

Venue: Online via Zoom
Chair: Michal Kowalczyk