activity
20192021
most citedBasic results of fractional Orlicz-Sobolev space and applications to non-local problems

3 citations · 3 across the 5 of their papers we have counts for

collaborators

8 papers

math.AP2021

Multiple solutions for two classes of quasilinear problems defined on a nonreflexive Orlicz-Sobolev space

Claudianor O. Alves, Sabri Bahrouni, Marcos L. M. Carvalho

In this paper, we prove the existence and multiplicity of solutions for a large class of quasilinear problems on a nonreflexive Orlicz-Sobolev space. Here, we use the variational m…

math.AP2020

Variational Eigenvalues of the fractional -Laplacian

Sabri Bahrouni, Hichem Ounaies, Ariel Salort

In the present work we study existence of sequences of variational eigenvalues to non-local non-standard growth problems ruled by the fractional Laplacian operator with differe…

math.AP2020

Compact embedding theorems and a Lions' type Lemma for fractional Orlicz-Sobolev spaces

Edcarlos D. Silva, Marcos L. M. Carvalho, José Carlos de Albuquerque +1

In this paper we are concerned with some abstract results regarding to fractional Orlicz-Sobolev spaces. Precisely, we ensure the compactness embedding for the weighted fractional…

math.AP2020

Strauss and Lions type theorems for the fractional Sobolev spaces with variable exponent and applications to nonlocal Kirchhoff-Choquard problem

Sabri Bahrouni, Hichem Ounaies

This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent , when and satisfies some c…

math.AP2020

Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces

Sabri Bahrouni, Ariel Salort

In the first part of this article we deal with the existence of at least three non-trivial weak solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin t…

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…