Calculus of Variations and Geometric Measure Theory

N. A. Dao - Q. H. Nguyen

Brezis-Gallouet-Wainger type inequality with critical fractional Sobolev space and BMO

created by nguyen on 24 May 2018


Published Paper

Inserted: 24 may 2018
Last Updated: 24 may 2018

Journal: Comptes Rendus Mathematique
Pages: 12
Year: 2018


In this paper, we prove the Brezis-Gallouet-Wainger type inequality involving the BMO norm, the fractional Sobolev norm, and the logarithmic norm of $\mathcal{\dot{C}}^\eta$, for $\eta\in(0,1)$.