Work

Gagliardo–Nirenberg–Sobolev inequalities in John domains

Year: 2024

Type: article

Abstract: We build up a Gagliardo–Nirenberg–Sobolev inequality in John domains and, conversely, under an extra separation property, we show that a bounded domain supporting such a Gagliardo–Nirenberg–Sobolev inequality should be a John domain.

Source: Annales Fennici Mathematici

DOI: 10.54330/afm.154980

Authors: Zeming Wang, Dachun Yang, Yuan Zhou

Institution: Beijing Normal University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China, Fundamental Research Funds for the Central Universities