On a Nonuniformly Coercive Quasilinear p(·)-Elliptic Neumann Problem with L1 Data
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.
Authors
- Francisco Ortegón Gallego (ORCID: https://orcid.org/0000-0002-9821-8002)
- Hassane Hjiaj (ORCID: https://orcid.org/0000-0002-1542-7926)
- Hayat Benkhalou
- Aymane El Janathi (ORCID: https://orcid.org/0009-0003-6058-8838)
Institutions
- Abdelmalek Essaâdi University (MA)
- Universidad de Cádiz (ES)
Publication Details
- Journal
- Mathematics
- Published
- 2026-10-29
- DOI
- https://doi.org/10.3390/math14213959
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministerio de Ciencia, Innovación y Universidades