Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions
| dc.contributor.author | Zhang, Zhijun | |
| dc.date.accessioned | 2021-07-14T14:02:44Z | |
| dc.date.available | 2021-07-14T14:02:44Z | |
| dc.date.issued | 2006-01-06 | |
| dc.description.abstract | We consider the boundary blow-up nonlinear elliptic problems Δu ± λ|∇u|q = k(x)g(u) in a bounded domain with boundary condition u|∂Ω = +∞, where q ∈ [0, 2] and λ ≥ 0. Under suitable growth assumptions on K near the boundary and on g both at zero and at infinity, we show the existence of at least one solution in C2(Ω). Our proof is based on the method of explosive sub-supersolutions, which permits positive weights k(x) which are unbounded and / or oscillatory near the boundary. Also, we show the global optimal asymptotic behaviour of the solution in some special cases. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, Z. (2006). Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions. <i>Electronic Journal of Differential Equations, 2006</i>(02), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13875 | |
| 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Semilinear elliptic equations | |
| dc.subject | Explosive subsolutions | |
| dc.subject | Explosive superbsolutions | |
| dc.subject | Existence | |
| dc.subject | Global optimal asymptotic behaviour | |
| dc.title | Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions | |
| dc.type | Article |