Non-linear elliptic unilateral problems in Musielak-Orlicz spaces with L1 data

Mustafa Ait Khellou; Abdelmoujib Benkirane

doi:10.5269/bspm.v36i1.29861

Mustafa Ait Khellou University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P 1796 Atlas Fez, Morocco
Abdelmoujib Benkirane University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P 1796 Atlas Fez, Morocco

DOI: https://doi.org/10.5269/bspm.v36i1.29861

Keywords: Musielak-Orlicz spaces, non-linear problems, unilateral problems, truncations

Abstract

We prove an existence result of solutions for nonlinear elliptic unilateral problems having natural growth terms and L1 data in Musielak-Orlicz-Sobolev space W1Lφ, under the assumption that the conjugate function of φ satisfies the ∆2-condition.

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Author Biographies

Mustafa Ait Khellou, University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P 1796 Atlas Fez, Morocco

Laboratory LAMA, Department of Mathematics

Abdelmoujib Benkirane, University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P 1796 Atlas Fez, Morocco

Laboratory LAMA, Department of Mathematics