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math.AP2019
Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems
Sabri Bahrouni, Hichem Ounaies
In the present paper, we deal with a new continuous and compact embedding theorems for the fractional Orlicz-Sobolev spaces, also, we study the existence of infinitely many nontriv…
math.AP2019
Infinitely many solutions for a class of fractional Orlicz-Sobolev Schrödinger equations
Sabri Bahrouni, Hichem Ounaies
In the present paper, we deal with a new compact embedding theorem for a subspace of the new fractional Orlicz-Sobolev spaces. We also establish some useful inequalities which yiel…
math.AP2019★ 3 cited
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 and and fractional Sobolev spaces . More precisely, we give some qualitative properti…