86 citations
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math.FA2018
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…
math.FA2017★ 86 cited
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…