Bifurcation for elliptic forth-order problems with quasilinear source term
| dc.contributor.author | Saanouni, Soumaya | |
| dc.contributor.author | Trabelsi, Nihed | |
| dc.date.accessioned | 2023-06-20T20:59:16Z | |
| dc.date.available | 2023-06-20T20:59:16Z | |
| dc.date.issued | 2016-04-06 | |
| dc.description.abstract | We study the bifurcations of the semilinear elliptic forth-order problem with Navier boundary conditions ∆2u - div(c(x)∇u) = λƒ(u) in Ω, ∆u = u = 0 on ∂Ω. Where Ω ⊂ ℝn, n ≥ 2 is a smooth bounded domain, ƒ is a positive, increasing and convex source term and c(x) is a smooth positive function on Ω̅ such that the L∞-norm of its gradient is small enough. We prove the existence, uniqueness and stability of positive solutions. We also show the existence of critical value λ* and the uniqueness of its extremal solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Sâanouni, S., & Trabelsi, N. (2016). Bifurcation for elliptic forth-order problems with quasilinear source term. <i>Electronic Journal of Differential Equations, 2016</i>(92), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16964 | |
| 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, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | bifurcation | |
| dc.subject | regularity | |
| dc.subject | stability | |
| dc.subject | quasilinear | |
| dc.title | Bifurcation for elliptic forth-order problems with quasilinear source term | |
| dc.type | Article |