Nonlinear degenerate elliptic equations in weighted Sobolev spaces
| dc.contributor.author | Benali, Aharrouch | |
| dc.contributor.author | Jaouad, Bennouna | |
| dc.date.accessioned | 2021-10-05T20:30:21Z | |
| dc.date.available | 2021-10-05T20:30:21Z | |
| dc.date.issued | 2020-10-12 | |
| dc.description.abstract | We study the existence of solutions for the nonlinear degenerated elliptic problem -div α(x, u, ∇u) = ƒ in Ω u = 0 on ∂Ω, where Ω is a bounded open set in ℝN, N ≥ 2, α is a Carathéodory function having degenerate coercivity α(x, u, ∇u)∇u ≥ v(x)b(|u|)|∇u|p, 1 < p < N, v(∙) is the weight function, b is continuous and ƒ ∈ Lr(Ω). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Benali, A., & Jaouad, B. (2020). Nonlinear degenerate elliptic equations in weighted Sobolev spaces. Electronic Journal of Differential Equations, 2020(105), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14612 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear degenerated elliptic operators | |
| dc.subject | Weighted Sobolev space | |
| dc.subject | Monotony and rearrangement methods | |
| dc.title | Nonlinear degenerate elliptic equations in weighted Sobolev spaces | |
| dc.type | Article |