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

2005/08/24 by Achilles Tertikas, Tertikas, Achilles, Kyril Tintarev +1
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

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

openalex publication_date 2005/08/24 · 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

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