Maximum principle and existence of positive solutions for nonlinear systems involving degenerate p-Laplacian operators
| dc.contributor.author | Khafagy, Salah | |
| dc.contributor.author | Serag, Hassan M. | |
| dc.date.accessioned | 2021-08-06T18:47:04Z | |
| dc.date.available | 2021-08-06T18:47:04Z | |
| dc.date.issued | 2007-05-09 | |
| dc.description.abstract | We study the maximum principle and existence of positive solutions for the nonlinear system -Δp,Pu = α(x)|u|p-2 u + b(x)|u|α|v|β v + ƒ in Ω, -ΔQ,qv = c(x)|u|α|v|β u + d(x)|v|q-2 v + g in Ω, u = v = 0 on ∂Ω, where the degenerate p-Laplacian defined as Δp,P u = div[P(x)|∇u|p-2∇u]. We give necessary and sufficient conditions for having the maximum principle for this system and then we prove the existence of positive solutions for the same system by using an approximation method. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Khafagy, S. A., & Serag, H. M. (2007). Maximum principle and existence of positive solutions for nonlinear systems involving degenerate p-Laplacian operators. <i>Electronic Journal of Differential Equations, 2007</i>(66), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14228 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Maximum principle | |
| dc.subject | Existence of positive solution | |
| dc.subject | Nonlinear elliptic system | |
| dc.subject | Degenerated p-Laplacian | |
| dc.title | Maximum principle and existence of positive solutions for nonlinear systems involving degenerate p-Laplacian operators | en_US |
| dc.type | Article |