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arXiv · 1601.04358

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

Rafael Benguria·Soledad Benguria
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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.

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Rafael Benguria, Soledad Benguria. 2016-01-17. An improved bound for the non-existence of radial solutions of the Brezis-Nirenberg problem in Hn. https://arxiv.org/abs/1601.04358

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