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arXiv · 1810.01592

Improved Multipolar Poincar\'e-Hardy inequalities on Cartan-Hadamard Manifolds

Elvise Berchio·Debdip Ganguly·Gabriele Grillo
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Abstract

We prove a family of improved multipolar Poincar\'e-Hardy inequalities on Cartan-Hadamard manifolds. For suitable configurations of poles, these inequalities yield an improved multipolar Hardy inequality and an improved multipolar Poincar\'e inequality such that the critical unipolar singular mass is reached at any pole.

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Elvise Berchio, Debdip Ganguly, Gabriele Grillo. 2018-10-03. Improved Multipolar Poincar\'e-Hardy inequalities on Cartan-Hadamard Manifolds. https://arxiv.org/abs/1810.01592

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