Hardy-Poincare' inequalities with boundary singularities

2010/05/19 by Mouhamed Moustapha Fall, Fall, Mouhamed Moustapha, Roberta Musina +1
Computer Science · Mathematics · #35A01 #35B33 #35J20 #35J57 #35J75 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35A01 #msc:35B33 #msc:35J20 #msc:35J57 #msc:35J75

paper · pdf · doi:10.48550/arxiv.1005.3400

arxiv created 2010/05/19 · openalex publication_date 2010/05/19 · arxiv updated 2010/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Ø be a bounded domain in \R^N with 0∈\deØ and N≥ 2. In this paper we study the Hardy-Poincaré inequality for maps in H¹₀(Ω). In particular we give sufficient and some necessary conditions so that the best constant is achieved.

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