On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality

2005/08/24 by Achilles Tertikas, Tertikas, Achilles, Kyril Tintarev +1 · 2 citations
Computer Science · Mathematics · #35J20 #35J65 #35J70 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35J20 #msc:35J65 #msc:35J70

paper · pdf · doi:10.48550/arxiv.math/0508463

18 pages

openalex publication_date 2005/08/24 · arxiv created 2005/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show existence of minimizers for the Hardy-Sobolev-Maz'ya inequality in R^m+n∖\Rⁿ for m=1 and n>2 or for m>2 and n>0.

Citations

• A relation between pointwise convergence of functions and convergence of functionals

Cited by

• Hardy-Sobolev inequalities involving mixed radially and cylindrically symmetric weights
• Existence of a bi-radial sign-changing solution for Hardy-Sobolev-Mazya type equation

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