Basic results of fractional Orlicz-Sobolev space and applications to non-local problems

Sabri Bahrouni, Hichem Ounaies, Leandro S. Tavares

In this paper, we study the interplay between Orlicz-Sobolev spaces $L^M$ and $W^{1,M}$ and fractional Sobolev spaces $W^{s,p}$. More precisely, we give some qualitative properti…