Positive solutions for elliptic equations with singular nonlinearity
| dc.contributor.author | Shi, Junping | |
| dc.contributor.author | Yao, Miaoxin | |
| dc.date.accessioned | 2021-05-17T20:55:08Z | |
| dc.date.available | 2021-05-17T20:55:08Z | |
| dc.date.issued | 2005-01-02 | |
| dc.description.abstract | We study an elliptic boundary-value problem with singular non-linearity via the method of monotone iteration scheme: -∆u(x) = ƒ(x, u(x)), x ∈ Ω, u(x) = ϕ(x), x ∈ ∂Ω, Where ∆ is the Laplacian operator, Ω is a bounded domain in ℝN, N ≥ 2, ϕ ≥ 0 may take the value 0 on ∂Ω, and ƒ(x, s) is possibly singular near s = 0. We prove the existence and the uniqueness of positive solutions under a set of hypotheses that do not make neither monotonicity nor strict positivity assumption on ƒ(x, s), which improvements of some previous results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Shi, J., & Yao, M. (2005). Positive solutions for elliptic equations with singular nonlinearity. <i>Electronic Journal of Differential Equations, 2005</i>(04), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13575 | |
| 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 | Singular nonlineararity | |
| dc.subject | Elliptic equation | |
| dc.subject | Positive solutions | |
| dc.subject | Monotonic iteration | |
| dc.title | Positive solutions for elliptic equations with singular nonlinearity | |
| dc.type | Article |