Existence Results for Renormalized Solutions to Non-Coercive Nonlinear Elliptic Equations Involving a Hardy Potential and With L1-Data
F. Achhoud
Faculté des Sciences et Techniques, MISI Laboratory, Hassan First University of Settat, B.P. 577 Settat, 26000, Morocco
A. Bouajaja and H. Redwane
Faculty of Economics and Management, MISI Laboratory, Hassan First University of Settat, B.P. 577 Settat, 26000, Morocco
Received on June 11, 2024,
Accepted on December 2, 2024
Communicated by Gaston M. N'Guérékata
| Abstract. Here, we prove the existence of a renormalized solution for a class of nonlinear elliptic Dirichlet problems which contain a nonlinear convection term that satisfies an optimal growth condition, as well as a zero-order perturbation term known as the Hardy potential. Additionally, it is important to note that the right-hand side is assumed to be an L1−function. | |
| Keywords: | Nonlinear elliptic equation, Convection term, Hardy potential, Renormalized solution, L1-data. |
| 2010 Mathematics Subject Classification: 35J60, 35K05, 35K67, 35R09. | |
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