### 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).

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