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Peer-reviewedCC BY 4.0Mathematics

On a Nonuniformly Coercive Quasilinear p(·)-Elliptic Neumann Problem with L1 Data

  • Hayat Benkhalou1
  • Aymane El Janathi1
  • Hassane Hjiaj1
  • Francisco Ortegón Gallego2
  1. 1Department of Mathematics, Faculty of Sciences, Abdelmalek Essaadi University, Tetouan 93002, Morocco
  2. 2Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, 11510 Puerto Real, Spain
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Abstract

This paper studies a quasilinear and nonuniformly coercive elliptic Neumann problem with right hand side in L1(Ω) and boundary data in L1(∂Ω), in the context of Sobolev spaces with variable exponent. We analyze the existence and the uniqueness of renormalized solutions to this problem.

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Cite

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BibTeX
@article{benkhalou2026nonuniformly,
  title = {{On a Nonuniformly Coercive Quasilinear p(·)-Elliptic Neumann Problem with L1 Data}},
  author = {Hayat Benkhalou and Aymane El Janathi and Hassane Hjiaj and Francisco Ortegón Gallego},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14213959},
  url = {https://www.mdpi.com/2227-7390/14/21/3959},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - On a Nonuniformly Coercive Quasilinear p(·)-Elliptic Neumann Problem with L1 Data
AU  - Hayat Benkhalou
AU  - Aymane El Janathi
AU  - Hassane Hjiaj
AU  - Francisco Ortegón Gallego
PY  - 2026
DA  - 2026/10/29
JO  - Mathematics
DO  - 10.3390/math14213959
UR  - https://www.mdpi.com/2227-7390/14/21/3959
AB  - This paper studies a quasilinear and nonuniformly coercive elliptic Neumann problem with right hand side in L1(Ω) and boundary data in L1(∂Ω), in the context of Sobolev spaces with variable exponent. We analyze the existence and the uniqueness of renormalized solutions to this problem.
SN  - 2227-7390
ER  -