Maximum principle and existence of positive solutions for nonlinear systems on ℝN
| dc.contributor.author | Serag, Hassan M. | |
| dc.contributor.author | El-Zahrani, Eada A. | |
| dc.date.accessioned | 2021-06-01T12:54:37Z | |
| dc.date.available | 2021-06-01T12:54:37Z | |
| dc.date.issued | 2005-07-27 | |
| dc.description.abstract | In this paper, we study the following non-linear system on ℝN -∆pu = α(x)|u|p-2 u + b(x)|u|α|v|βv + ƒ x ∈ ℝN -∆qv = c(x)|u|α|v|βu + d(x)|v|q-2 v + g x ∈ ℝN lim|x|→∞ u(x) = lim v(x) = 0, u, v > 0 in ℝN where ∆pu = div |∇u|p-2 ∇u) with p > 1 and p ≠ 2 is the "p-Laplacian", α, β > 0, p, q > 1, and ƒ, g are given functions. We obtain necessary and sufficient conditions for having a maximum principle; then we use an approximation method to prove the existence of positive solution for this system. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Serag, H. M., & El-Zahrani, E. A. (2005). Maximum principle and existence of positive solutions for nonlinear systems on ℝN. <i>Electronic Journal of Differential Equations, 2005</i>(85), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13686 | |
| 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Maximum principle | |
| dc.subject | Nonlinear elliptic systems | |
| dc.subject | p-Laplacian | |
| dc.subject | Sub and super solutions | |
| dc.title | Maximum principle and existence of positive solutions for nonlinear systems on ℝN | |
| dc.type | Article |