Existence and multiplicity of positive solutions for singular p&q-Laplacian problems via sub-supersolution method
| dc.contributor.author | Arruda, Suellen Cristina Q. | |
| dc.contributor.author | Nascimento, Rubia G. | |
| dc.date.accessioned | 2021-08-23T14:51:56Z | |
| dc.date.available | 2021-08-23T14:51:56Z | |
| dc.date.issued | 2021-04-02 | |
| dc.description.abstract | In this work we show the existence and multiplicity of positive solutions for a singular elliptic problem which the operator is non-linear and non-homogenous. We use the sub-supersolution method to study the following class of p&q-singular problems. -div (a(|∇u|<sup>p</sup>)|∇u|p-2∇u) = h(x)u−γ + ƒ(x, u) in Ω, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in ℝN with N ≥ 3, 2 ≤ p < N and γ > 0. The hypotheses on the functions α, h, and ƒ allow us to extend this result to a large class of problems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Arruda, S. C. Q., & Nascimento, R. G. (2021). Existence and multiplicity of positive solutions for singular p&q-Laplacian problems via sub-supersolution method. <i>Electronic Journal of Differential Equations, 2021</i>(25), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14422 | |
| 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | p&q-problem | |
| dc.subject | Sub-supersolution method | |
| dc.subject | Singular elliptic problem | |
| dc.title | Existence and multiplicity of positive solutions for singular p&q-Laplacian problems via sub-supersolution method | |
| dc.type | Article |