Localized nodal solutions for semiclassical nonlinear Kirchhoff equations
| dc.contributor.author | Wang, Lixia | |
| dc.date.accessioned | 2023-04-25T17:34:48Z | |
| dc.date.available | 2023-04-25T17:34:48Z | |
| dc.date.issued | 2022-08-02 | |
| dc.description.abstract | In this article, we consider the existence of localized sign-changing solutions for the semiclassical Kirchhoff equation -(ε2α + εb ∫ℝ3 |∇u|2dx)∆u + V(x)u = |u|p-2u, x ∈ ℝ3, u ∈ H1(ℝ3) where 4 < p < 2* = 6, ε > 0 is a small parameter, V(x) is a positive function that has a local minimum point P. When ε → 0, by using a minimax characterization of higher dimensional symmetric linking structure via the symmetric mountain pass theorem, we obtain an infinite sequence of localized sign-changing solutions clustered at the point P. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, L. (2022). Localized nodal solutions for semiclassical nonlinear Kirchhoff equations. <i>Electronic Journal of Differential Equations, 2022</i>(57), pp. 1-23. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16647 | |
| 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 | Kirchhoff equations | |
| dc.subject | Nodal solutions | |
| dc.subject | Penalization method | |
| dc.title | Localized nodal solutions for semiclassical nonlinear Kirchhoff equations | |
| dc.type | Article |