Ground state solutions for fractional p-Kirchhoff equation
| dc.contributor.author | Wang, Lixiong | |
| dc.contributor.author | Chen, Haibo | |
| dc.contributor.author | Yang, Liu | |
| dc.date.accessioned | 2023-04-25T18:56:48Z | |
| dc.date.available | 2023-04-25T18:56:48Z | |
| dc.date.issued | 2022-08-19 | |
| dc.description.abstract | We study the fractional p-Kirchhoff equation (α + b ∫ℝN ∫ℝ |u(x)-u(y)|p/|x-y|N+ps dx dy (-∆)s p u - μ|u|p-2u = |u|q-2u, x ∈ ℝN, where (-∆)s p is the fractional p-Laplacian operator, a and b are strictly positive real numbers, s ∈ (0, 1), 1 < p < N/s, and p < q < p*s - 2 with p*s = Np/N-ps. By using the variational method, we prove the existence and uniqueness of global minimum or mountain pass type critical points on the Lp-normalized manifold S(c) ≔ {u ∈ Ws,p(ℝN) : ∫ℝN |u|pdx = cp}. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, L., Chen, H., & Yang, L. (2022). Ground state solutions for fractional p-Kirchhoff equation. Electronic Journal of Differential Equations, 2022(61), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16651 | |
| 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 | Variational method | |
| dc.subject | L^p-normalized critical point | |
| dc.subject | Fractional | |
| dc.subject | p-Kirchhoff equation | |
| dc.subject | Uniqueness | |
| dc.title | Ground state solutions for fractional p-Kirchhoff equation | |
| dc.type | Article |