An improved bound for the non-existence of radial solutions of the Brezis–Nirenberg problem in
Rafael D. BenguriaPontificia Universidad Católica de Chile, Santiago de Chile, Chile
Soledad BenguriaUniversity of Wisconsin, Madison, USA
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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 , for .