preprint

Inserted: 18 oct 2026

Year: 2015

Abstract:

We consider a class of quasilinear operators on a bounded domain $Ω\subset \mathbb R^n$ and address the question of optimizing the first eigenvalue with respect to the boundary conditions, which are of the Robin-type. We describe the optimizing boundary conditions and establish upper and lower bounds on the respective maximal and minimal eigenvalue.