We prove various multipolar Hardy inequalities on Hadamard manifolds. In the first part of the paper an optimal multipolar Hardy inequality is proved (Theorem 1.1), while in the second part of the paper we prove several quantitative and weighted versions of the original inequality (Theorem 1.2, Theorems 1.3, 1.4).
Multipolar Hardy inequalities on non-compact Riemannian manifolds of Hadamard type
Francesca Faraci;
2018-01-01
Abstract
We prove various multipolar Hardy inequalities on Hadamard manifolds. In the first part of the paper an optimal multipolar Hardy inequality is proved (Theorem 1.1), while in the second part of the paper we prove several quantitative and weighted versions of the original inequality (Theorem 1.2, Theorems 1.3, 1.4).File in questo prodotto:
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