Pointwise Symmetrization Inequalities for Sobolev functions and applications
Joaquim Martin, Mario Milman
TL;DR
This paper introduces a new symmetrization technique that unifies the study of Sobolev inequalities, concentration inequalities, and the integrability of elliptic equation solutions.
Contribution
It develops a novel symmetrization method that offers a unified approach to various inequalities and regularity results in analysis.
Findings
New symmetrization inequalities derived
Unified framework for Sobolev and concentration inequalities
Improved understanding of elliptic equation solutions' integrability
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
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.