zur Startseite

Hynek Kovařík

On the first eigenvalue of the p-Laplacian with Robin boundary conditions

Abstract: In this talk we will consider the p-Laplace operator with Robin boundary conditions on Euclidean domains with sufficiently regular boundary. In particular, it will be shown how the asymptotic behaviour of the first eigenvalue, when the strength of the (negative) boundary term grows to infinity, depends on the geometry of the domain. Localisation of the corresponding minimisers will be discussed as well. This is a joint work with Konstantin Pankrashkin.