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Some obstacle problems in Musielak spaces

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Abstract

In this paper we use the penalization method to prove the existence of solution for variational inequalities of Leray–Lions type, in the setting of Musielak spaces and where the Musielak function doesn’t satisfy the \(\Delta _2\)-condition. Here the right-hand side is in \(L^1.\)

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Authors and Affiliations

  1. Faculté des Sciences de Meknès, Equipe: EDPs et Calculs Scientifiques, Université Moulay-Ismail-Meknès, Meknes, Morocco

    R. Elarabi & M. Rhoudaf

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  1. R. Elarabi
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  2. M. Rhoudaf
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Correspondence to R. Elarabi.

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Elarabi, R., Rhoudaf, M. Some obstacle problems in Musielak spaces. Ricerche mat (2022). https://doi.org/10.1007/s11587-021-00679-w

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  • DOI: https://doi.org/10.1007/s11587-021-00679-w

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