Sharp multipolar L^p-Hardy-type inequalities on Riemannian manifolds

2025/03/06 by Cristian Ciulică, Ciulică, Cristian, Teodor Rugină +1
Mathematics · #35A23 #35B25 #53C21 #58J60 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2503.04703

openalex publication_date 2025/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

In this paper we prove sharp multipolar Hardy-type inequalities in the Riemannian L^p-setting for p≥ 2 using the method of super-solutions and fundamental results from comparison theory on manifolds, thus generalizing previous results for p=2. We emphasize that when we restrict to Cartan-Hadamard manifolds, the inequalities improve in the case 2

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