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

2018/10/03 by Elvise Berchio, Berchio, Elvise, Debdip Ganguly +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1810.01592

openalex publication_date 2018/10/03 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

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

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• Optimal Hardy inequalities associated with multipolar Schrödinger operators

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