Pointwise symmetrization inequalities for Sobolev functions and applications

2009/08/31 by Joaquim Martı́n, Joaquim Martin, Mario Milman
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Inequality #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Pointwise #Pure mathematics #Sobolev inequality #Sobolev space #Symmetrization #math.AP #math.FA

paper · pdf · doi:10.1016/j.aim.2010.02.022

made a number of corrections, added some references

arxiv created 2010/03/21 · openalex publication_date 2010/03/31 · arxiv updated 2017/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations

Citations

• Lectures on Analysis on Metric Spaces
• Heat Kernels and Spectral Theory
• Logarithmic Sobolev Inequalities
• Around the Research of Vladimir Maz'ya I
• Riemannian Geometry
• Geometric Measure Theory