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20162026
most citedA pocket guide to nonlinear differential equations in the Musielak--Orlicz spaces

117 citations · 335 across the 29 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

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…

math.AP2017★ 32 cited

Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions

Iwona Chlebicka, Piotr Gwiazda, Anna Zatorska-Goldstein

We prove existence and uniqueness of renormalized solutions to general nonlinear parabolic equation in Musielak-Orlicz space avoiding growth restrictions. Namely, we consider \[\pa…