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

Authors

  • 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.

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

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Published

2018-01-01

Issue

Vol. 36 No. 1 (2018)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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