BooksecrCollected Volumepp. 153–160

# An improved bound for the non-existence of radial solutions of the Brezis–Nirenberg problem in .css-nii8vn .katex{font-size:1.07em;}$\mathbb H^n$

• ### Rafael D. Benguria

Pontificia Universidad Católica de Chile, Santiago de Chile, Chile
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 $\mathbb{H}^n$, for $2.