Non-existence results for an eigenvalue problem involving Lipschitzian nonlinearities with non-positive primitive and applications

Speaker: Olivier Goubet 

University of Lille, France

Date: Thursday, December 1, 2022 at 14:15 Santiago time

Abstract: We discuss here existence and non existence results for nonlinear eigenvalues problems like

$$\Delta u = \lambda \sin u,  \lambda\geq 0$$

in a bounded domain of \( \mathbb{R}^D\) with homogeneous Dirichlet conditions.
We then infer some applications for the long time behavior of solutions to sine-Gordon equations. This work is a joint work with B. Ricceri (Catane, Italy).

Venue: Online via Zoom / Sala seminarios DIM, 5th floor, Beauchef 851
Chair: Claudio Muñoz