Exactness of the number of positive solutions to a singular quasilinear problem
| dc.contributor.author | Anello, Giovanni | |
| dc.contributor.author | Vilasi, Luca | |
| dc.date.accessioned | 2022-03-10T17:29:29Z | |
| dc.date.available | 2022-03-10T17:29:29Z | |
| dc.date.issued | 2018-11-20 | |
| dc.description.abstract | We study the exact multiplicity of positive solutions to the one-dimensional Dirichlet problem -(|u′|p-2 u′)′ = λu s-1 - μu r-1 in ]0, 1[ u(0) = u(1) = 0, where r ∈ ]0, 1[, p ∈ ]1, +∞[, r < s < p and λ, μ ∈ ]0, +∞[. We shed light, in particular, on the case r ∈ ]0, min{s, p/(p + 1)}[, completely determining the bifurcation diagram and solving some related open problems. Our approach relies upon quadrature methods. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Anello, G., & Vilasi, L. (2018). Exactness of the number of positive solutions to a singular quasilinear problem. <i>Electronic Journal of Differential Equations, 2018</i>(189), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15485 | |
| 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 | exactness | |
| dc.subject | singular problems | |
| dc.subject | positive solutions | |
| dc.subject | quadrature method | |
| dc.title | Exactness of the number of positive solutions to a singular quasilinear problem | |
| dc.type | Article |