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arxiv: 1601.04358 · v2 · pith:X7NVHRSFnew · submitted 2016-01-17 · 🧮 math.AP · math-ph· math.CA· math.MP

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

classification 🧮 math.AP math-phmath.CAmath.MP
keywords boundbrezis-nirenbergimprovedproblemradialsolutionsargumentball
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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 Hn, for 2<n<4.

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