Existence of positive solutions to nonlinear elliptic systems involving gradient term and reaction potential
| dc.contributor.author | Attar, Ahmed | |
| dc.contributor.author | Bentifour, Rachid | |
| dc.date.accessioned | 2022-04-13T13:24:40Z | |
| dc.date.available | 2022-04-13T13:24:40Z | |
| dc.date.issued | 2017-04-26 | |
| dc.description.abstract | In this note we study the elliptic system -∆u = zp + ƒ(x) in Ω, -∆z = |∇u|q + g(x) in Ω, z, u > 0 in Ω, z = u = 0 on ∂Ω, where Ω ⊂ ℝN is a bounded domain, p > 0, 0 < q ≤ 2 with pq < 1 and ƒ, g are two nonnegative measurable functions. The main result of this work is to analyze the interaction between the potential and the gradient terms in order to get the existence of a positive solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Attar, A., & Bentifour, R. (2017). Existence of positive solutions to nonlinear elliptic systems involving gradient term and reaction potential. <i>Electronic Journal of Differential Equations, 2017</i>(113), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15647 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Elliptic system | |
| dc.subject | Schauder fixed point theorem | |
| dc.subject | Gradient dependence | |
| dc.title | Existence of positive solutions to nonlinear elliptic systems involving gradient term and reaction potential | en_US |
| dc.type | Article |