An improved bound for the non-existence of radial solutions of the Brezis-Nirenberg problem in Hn

Abstract

Using a Rellich-Pohozaev argument and Hardy's inequality, we derive an improved bound on the nonlinear eigenvalue for the non existence of radial solutions of a Brezis-Nirenberg problem, with Dirichlet boundary conditions, on a geodesic ball of Hn, for 2<n<4.

Dedicated to Pavel Exner's 70th birthday