19 citations · 21 across the 9 of their papers we have counts for
9 papers
On the singular elliptic problem involving the variable order fractional Musielak -Laplacian
Azeddine Baalal, Mohamed Berghout, El-Houcine Ouali
In this paper, we investigate the existence of positive weak solutions to a nonlocal singular elliptic problem under Dirichlet boundary condition. Problem is settled in fractional…
Some approximation properties in fractional Musielak-Sobolev spaces
Azeddine Baalal, Mohamed Berghout, EL-Houcine Ouali
In this article, we show some density properties of smooth and compactly supported functions in fractional Musielak-Sobolev spaces essentially extending the results of Fiscella, Se…
Density properties for fractional Musielak-Sobolev spaces
EL-Houcine Ouali, Azeddine Baalal, Mohamed Berghout
In this paper, we introduce a new fractional Musielak-Sobolev space where is an open subset in RN and we show some density properties of smooth and compactly suppo…
On the Continuous embeddings between the fractional Hajłasz-Orlicz-Sobolev spaces
Azeddine Baalal, Mohamed Berghout, EL-Houcine Ouali
Let be an Orlicz function and let be positive real numbers. Under certain conditions on the Orlicz function , we establish some continuous embeddings results be…
Fractional variable exponents Sobolev trace spaces
Mohamed Berghout
We introduce and study fractional variable exponents Sobolev trace spaces on any open set in the Euclidean space equipped with the Lebesgue measure. We show that every equivalence…
Variable exponent Sobolev trace spaces and Dirichlet problem in axiomatic nonlinear potential theory
Mohamed Berghout
We give a news characterization of variable exponent Sobolev trace spaces. We construct The Perron-Weiner-Brelot operator in nonlinear harmonic space and we give sufficient conditi…
Theory of capacities in fracional Sobolev spaces with variable exponents
Azeddine Baalal, Mohamed Berghout
In this paper we develop a capacities theory connected with the fractional Sobolev spaces with variable exponents. Two kinds of capacities are studied: Sobolev capacity and relativ…
Trace and extension operators for fractional Sobolev spaces with variable exponent
Azeddine Baalal, Mohamed Berghout
We show that, under certain regularity assumptions, there exists a linear extension operator.
Dirichlet Problem for Coupled Elliptic Systems
Azeddine Baalal, Mohamed Berghout
Let be a bounded domain in pretty regular. We solve the variational Dirichlet problem for a class of quasi-linear elliptic systems.