### The eigenvalue problem for the infinity Laplacian

**Lindgren, E ***(NTNU)*

Tuesday 08 April 2014, 13:00-14:00

Discussion Room, Newton Institute

#### Abstract

The eigenvalue problem for the infinity Laplacian arises as the limit as $p\to \infty$ of the eigenvalue problem for the p-Laplacian and it is given by the free boundary problem
$$ max (\lambda u-|\nabla u|,\Delta_\infty u ) = 0 $$
I will briefly discuss how this limit can be obtained, some known result for the case $p=\infty$ and some related open problems.

#### Video

This talk has not been recorded because this was an informal session.