Weak solution by the sub-supersolution method for a nonlocal system involving Lebesgue generalized spaces
| dc.contributor.author | Razani, Abdolrahman | |
| dc.contributor.author | Figueiredo, Giovany M. | |
| dc.date.accessioned | 2023-04-17T20:45:57Z | |
| dc.date.available | 2023-04-17T20:45:57Z | |
| dc.date.issued | 2022-05-01 | |
| dc.description.abstract | We consider a system of nonlocal elliptic equations - A(x, |v|Lr1(x) div (α1(|∇u|p1(x))|∇u|p1(x)-2∇u) = ƒ1(x, u, v)|∇v|α1(x)Lq1(x) + g1(x, u, v)|∇v|γ1(x)Ls1(x), - A(x, |u|Lrs(x) div(αx(|∇v|p2(x))|∇u|p2(x)-2∇u) = ƒ2(x, u, v)|∇u|α2(x)Lq2(x) + g2(x, u, v)|∇u|γ2(x)Ls2(x), with Dirichlet boundary condition, where Ω is a bounded domain in ℝN (N > 1) with C2 boundary. Using sub-supersolution method, we provide the existence of at least one positive weak solution. Also, we study a generalized logistic equation and a sublinear system. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Razani, A., & Figueiredo, G. M. (2022). Weak solution by the sub-supersolution method for a nonlocal system involving Lebesgue generalized spaces. Electronic Journal of Differential Equations, 2022(36), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16595 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlocal problem | |
| dc.subject | p(x)-Laplacian | |
| dc.subject | Sub-supersolution | |
| dc.subject | Minimal wave speed | |
| dc.title | Weak solution by the sub-supersolution method for a nonlocal system involving Lebesgue generalized spaces | |
| dc.type | Article |