Existence of solutions for Kirchhoff type equations with unbounded potential
| dc.contributor.author | Duan, Yueliang | |
| dc.contributor.author | Zhou, Yinggao | |
| dc.date.accessioned | 2022-06-08T19:42:34Z | |
| dc.date.available | 2022-06-08T19:42:34Z | |
| dc.date.issued | 2017-07-19 | |
| dc.description.abstract | In this article, we study the Kirchhoff type equation (α + λ ∫ℝ3 |∇u|2 + λb ∫ℝ3u2) [-∆u + bu] = K(x)|u|p-1u, in ℝ3, where α, b > 0, p ∈ (2, 5), λ ≥ 0 is a parameter, and K may be an unbounded potential function. By using variational methods, we prove the existence of nontrivial solutions for the above equation. A cut-off functional and some estimates are used to obtain the bounded Palais-Smale sequences. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Duan, Y., & Zhou, Y. (2017). Existence of solutions for Kirchhoff type equations with unbounded potential. Electronic Journal of Differential Equations, 2017(184), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15877 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| 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 | Cut-off functional | |
| dc.subject | Kirchhoff type problem | |
| dc.subject | Unbounded potential | |
| dc.subject | Variational method | |
| dc.title | Existence of solutions for Kirchhoff type equations with unbounded potential | |
| dc.type | Article |