On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space
| Autor: | Omar Benslimane, Ahmed Aberqi, Jaouad Bennouna |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Arab Journal of Mathematical Sciences, Vol 29, Iss 1, Pp 29-51 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2588-9214 1319-5166 |
| DOI: | 10.1108/AJMS-12-2020-0133/full/pdf |
| Popis: | Purpose – In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is described by an N-uplet of N-functions satisfying the Δ2-condition, within the fulfilling of anisotropic Sobolev-Orlicz space. In addition, the resulting analysis requires the development of some new aspects of the theory in this field. The source term is merely integrable. Design/methodology/approach – An approximation procedure and some priori estimates are used to solve the problem. Findings – The authors prove the existence of entropy solutions to unilateral problem in the framework of anisotropic Sobolev-Orlicz space with bounded domain. The resulting analysis requires the development of some new aspects of the theory in this field. Originality/value – To the best of the authors’ knowledge, this is the first paper that investigates the existence of entropy solutions to unilateral problem in the framework of anisotropic Sobolev-Orlicz space with bounded domain. |
| Databáze: | Directory of Open Access Journals |
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