Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We provide answers to some questions raised in a recent work by H. Brezis, J. Van Schaftingen and P.-L. Yung [2,3] concerning the Gagliardo semi-norm |u|Ws,q computed at s=1, when the strong Lq is replaced by weak Lq. In particular, we address generalization of the results in [2,3] for a general domain and non-smooth functions.

Original languageEnglish
Article number109312
JournalJournal of Functional Analysis
Volume282
Issue number3
DOIs
StatePublished - 1 Feb 2022

Keywords

  • Sobolev spaces
  • Weak L space

ASJC Scopus subject areas

  • Analysis

Fingerprint

Dive into the research topics of 'Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung'. Together they form a unique fingerprint.

Cite this