Work

Quantitative suboptimal Sobolev embeddings

Year: 2025

Type: article

Abstract: We present two new families of integral inequalities involving Sobolev seminorms associated with compact Sobolev embeddings. These inequalities quantify the fact that, on “many” small balls of a given domain, quantitative Sobolev embeddings are “much better” than predicted by scaling arguments.

Source: Comptes Rendus Mathématique

DOI: 10.5802/crmath.798

Authors: Antoine Detaille, Petru Mironescu

Institutions: Lyon 1 Université, Centre National de la Recherche Scientifique, ETH Zurich, Institut Camille Jordan, Université Jean Monnet, Institut National des Sciences Appliquées de Lyon, Université Jean Monnet

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414534808

FWCI:

Cites: 5

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