Positive solution curves of an infinite semipositone problem
| dc.contributor.author | Dhanya, Rajendran | |
| dc.date.accessioned | 2022-03-09T21:20:58Z | |
| dc.date.available | 2022-03-09T21:20:58Z | |
| dc.date.issued | 2018-11-01 | |
| dc.description.abstract | In this article we consider the infinite semipositone problem -∆u = λƒ(u) in Ω, a smooth bounded domain in ℝN, and u = 0 on ∂Ω, where ƒ(t) = tq - t-β and 0 < q, β < 1. Using stability analysis we prove the existence of a connected branch of maximal solutions emanating from infinity. Under certain additional hypothesis on the extremal solution at λ = Λ we prove a version of Crandall-Rabinowitz bifurcation theorem which provides a multiplicity result for λ ∈ (Λ, Λ + ε). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dhanya, R. (2018). Positive solution curves of an infinite semipositone problem. <i>Electronic Journal of Differential Equations, 2018</i>(178), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15474 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Semipositone problems | |
| dc.subject | Topological methods | |
| dc.subject | Bifurcation theory | |
| dc.title | Positive solution curves of an infinite semipositone problem | |
| dc.type | Article |