Existence and concentration of ground state solutions for a Kirchhoff type problem
| dc.contributor.author | Fan, Haining | |
| dc.date.accessioned | 2023-05-25T18:46:30Z | |
| dc.date.available | 2023-05-25T18:46:30Z | |
| dc.date.issued | 2016-01-04 | |
| dc.description.abstract | This article concerns the Kirchhoff type problem -(ε2α + εb ∫ℝ3|∇u|2dx)∆u + V(x)u = K(x)|u|p-1u, x ∈ ℝ3, u ∈ H1(ℝ3), where α, b are positive constants, 2 < p < 5, ε > 0 is a small parameter, and V(x), K(x) ∈ C1(ℝ3). Under certain assumptions on the non-constant potentials V(x) and K(x), we prove the existence and concentration properties of a positive ground state solution as ε → 0. Our main tool is a Nehari-Pohozaev manifold. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Fan, H. (2016). Existence and concentration of ground state solutions for a Kirchhoff type problem. <i>Electronic Journal of Differential Equations, 2016</i>(05), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16877 | |
| 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, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nehari-Pohozaev manifold | |
| dc.subject | Nonlocal problem | |
| dc.subject | Positive solution | |
| dc.subject | Concentration property | |
| dc.title | Existence and concentration of ground state solutions for a Kirchhoff type problem | en_US |
| dc.type | Article |