Positive solutions for p-Laplacian equations of Kirchhoff type problem with a parameter
| dc.contributor.author | Zhang, Qi | |
| dc.contributor.author | Huang, Jianping | |
| dc.date.accessioned | 2022-09-19T15:36:51Z | |
| dc.date.available | 2022-09-19T15:36:51Z | |
| dc.date.issued | 2017-11-27 | |
| dc.description.abstract | In this article, we consider the existence and non-existence of positive solutions for the Kirchhoff type equation -(α + λM (∫Ω |∇u|pdx)) ∆pu = ƒ(u), in Ω, u = 0, on ∂Ω, where Ω ⊂ ℝN is a bounded domain with a smooth boundary ∂Ω, α is a positive constant, N ≥ 3, λ ≥ 0, 2 ≤ p < N, M and ƒ, we show that the above problem has at least one positive solution when λ is small and has no nonzero solution when λ is large. Our argument is based on iterative technique and variational methods. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, Q., & Huang, J. (2017). Positive solutions for p-Laplacian equations of Kirchhoff type problem with a parameter. <i>Electronic Journal of Differential Equations, 2017</i>(292), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16153 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Positive solution | |
| dc.subject | p-Laplacian equation | |
| dc.subject | Iterative technique | |
| dc.title | Positive solutions for p-Laplacian equations of Kirchhoff type problem with a parameter | |
| dc.type | Article |