Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms
| dc.contributor.author | Zhang, Zhijun | |
| dc.date.accessioned | 2021-07-19T22:05:48Z | |
| dc.date.available | 2021-07-19T22:05:48Z | |
| dc.date.issued | 2006-08-18 | |
| dc.description.abstract | We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem -Δu = k(x)g(u) + λ|∇u|q, u > 0, x ∈ Ω, u|∂Ω = 0, where Ω is a bounded domain with smooth boundary in ℝN. We use the Karamata regular varying theory, a perturbed argument, and constructing comparison functions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, Z. (2006). Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms. <i>Electronic Journal of Differential Equations, 2006</i>(93), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13966 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Semilinear elliptic equations | |
| dc.subject | Dirichlet problem | |
| dc.subject | Singularity | |
| dc.subject | Nonlinear convection terms | |
| dc.subject | Karamata regular variation theory | |
| dc.subject | Unique solution | |
| dc.subject | Exact asymptotic behaviour | |
| dc.title | Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms | |
| dc.type | Article |