Opuscula Math. 44, no. 1 (2024), 105-134
https://doi.org/10.7494/OpMath.2024.44.1.105
Opuscula Mathematica
Singular quasilinear convective systems involving variable exponents
Abdelkrim Moussaoui
Dany Nabab
Jean Vélin
Abstract. The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. The approach combines the sub-supersolutions method and Schauder's fixed point theorem.
Keywords: \(p(x)\)-Laplacian, variable exponents, fixed point, singular system, gradient estimate, regularity.
Mathematics Subject Classification: 35J75, 35J48, 35J92.
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- Abdelkrim Moussaoui
- Applied Mathematics Laboratory (LMA), Faculty of Exact Sciences and Biology Departement, Faculty of Natural & Life Sciences, A. Mira Bejaia University, Targa Ouzemour, 06000 Bejaia, Algeria
- Dany Nabab
- Departement of Mathematics and Informatic, Faculty of Exact and Natural Sciences, Laboratory LAMIA, University of Antilles, Campus of Fouillole, 97159 Pointe-à-Pitre, Guadeloupe (FWI)
- Jean Vélin (corresponding author)
- Departement of Mathematics and Informatic, Faculty of Exact and Natural Sciences, Laboratory LAMIA, University of Antilles, Campus of Fouillole, 97159 Pointe-à-Pitre, Guadeloupe (FWI)
- Communicated by Vicenţiu D. Rădulescu.
- Received: 2022-09-25.
- Accepted: 2023-08-15.
- Published online: 2023-10-27.
