86 citations · 87 across the 5 of their papers we have counts for
6 papers
Some approximation results in time and space dependent Musielak spaces
Youssef Ahmida, Ahmed Youssfi
We provide density results for smooth functions in non-reflexive Musielak spaces defined up on time- and space- dependent modular functions. These Musielak spaces encompass a broad…
On a nonlinear eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces
Ahmed Youssfi, Mohamed Mahmoud Ould Khatri
We consider a nonlinear eigenvalue problem for some elliptic equations governed by general operators including the -Laplacian. The natural framework in which we consider such eq…
Poincaré-type inequalities in Musielak spaces
Ahmed Youssfi, Youssef Ahmida
In this paper we investigate Poincaré-type integral inequalities in the functional Musielak structure. We extend the ones already well known in Sobolev, Orlicz and variable exponen…
Gossez's approximation theorems in the Musielak-Orlicz-Sobolev spaces
Youssef Ahmida, Iwona Chlebicka, Piotr Gwiazda +1
We prove the density of smooth functions in the modular topology in the Musielak-Orlicz-Sobolev spaces essentially extending the results of Gossez \cite{GJP2} obtained in the Orlic…
Some approximation results in Musielak-Orlicz spaces
Ahmed Youssfi, Youssef Ahmida
We give sufficient conditions for the continuity in norm of the translation operator in the Musielak-Orlicz LM spaces. An application to the convergence in norm of approximate iden…
Imbedding results in Musielak-Orlicz spaces with an application to anisotropic nonlinear Neumann problems
Ahmed Youssfi, Mohamed Mahmoud Ould Khatri
We prove a continuous embedding that allows us to obtain a boundary trace imbedding result for anisotropic Musielak-Orlicz spaces, which we then apply to obtain an existence result…