Existence and multiplicity results for supercritical nonlocal Kirchhoff problem
| dc.contributor.author | Anello, Giovanni | |
| dc.date.accessioned | 2023-05-23T15:38:32Z | |
| dc.date.available | 2023-05-23T15:38:32Z | |
| dc.date.issued | 2023-02-15 | |
| dc.description.abstract | We study the existence and multiplicity of solutions for the nonlocal perturbed Kirchhoff problem -(α + b)∫Ω |∇u|2dx) ∆u = λg(x, u) + ƒ(x, u), in Ω, u = 0, on ∂Ω, where Ω is a bounded smooth domain in ℝN, N>4, a,b,&lambda>0, and ƒ, g : Ω x ℝ → ℝ are Caratheodory functions, with f subcritical, and g of arbitrary growth. This paper is motivated by a recent results by Faraci and Silva [4] where existence and multiplicity results were obtained when g is subcritical and f is a power-type function with critical exponent. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Anello, G. (2023). Existence and multiplicity results for supercritical nonlocal Kirchhoff problem. <i>Electronic Journal of Differential Equations, 2023</i>(14), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16849 | |
| 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlocal problem | |
| dc.subject | Kirchhoff equation | |
| dc.subject | Weak solution | |
| dc.subject | Supercritical growth | |
| dc.subject | Variational methods | |
| dc.title | Existence and multiplicity results for supercritical nonlocal Kirchhoff problem | |
| dc.type | Article |