Capacity solution for an elliptic coupled system with lower term in Orlicz spaces

Authors

  • Yassine AHAKKOUD Laboratory L2MASI, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fez, Morocco. Email: yassine.ahakkoud@usmba.ac.ma
  • Jaouad BENNOUNA Laboratory L2MASI, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fez, Morocco. Email: Jbennouna@hotmail.com https://orcid.org/0000-0002-7111-5505
  • Mhamed EL MASSOUDI Laboratory L2MASI, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fez, Morocco. Email: elmassoudi09@gmail.com https://orcid.org/0000-0001-9335-9271

DOI:

https://doi.org/10.24193/subbmath.2025.2.07

Keywords:

Perturbed coupled system, capacity solution, nonlinear elliptic equations, weak solution, Orlicz-Soblev spaces

Abstract

In this paper, we will deal with the capacity solution for a nonlinear elliptic coupled system with a Leray-Lions operator Au = −div σ(x, u, u) acting from Orlicz-Sobolev spaces W10LM (Ω) into its dual, where M is an N -function.

Mathematics Subject Classification (2010): 35J60, 35J66, 46E30.

Received 09 April 2024; Accepted 01 March 2025.

References

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Published

2025-06-02

How to Cite

AHAKKOUD, Y., BENNOUNA, J., & EL MASSOUDI, M. (2025). Capacity solution for an elliptic coupled system with lower term in Orlicz spaces. Studia Universitatis Babeș-Bolyai Mathematica, 79(2), 267–284. https://doi.org/10.24193/subbmath.2025.2.07

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