Work

On the stability of a version of nonlocal Sobolev inequality

Year: 2024

Type: article

Abstract: In this paper, we investigate the stability of the corresponding nonlocal Sobolev inequality [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] is the best constant. More specifically, by utilizing the non-degenerate property, we will give the remainder term which is proportional to the quadratic distance.

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360724500127

Authors: Weiwei Ye, Xinyun Zhang

Institutions: Fuyang Normal University, Zhejiang Normal University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404165306

FWCI: 0.765

Cites: 36

Cited by: 1

Related to: 10