Positive solutions for Kirchhoff-Schrodinger equations via Pohozaev manifold
| dc.contributor.author | Hu, Xian | |
| dc.contributor.author | Lan, Yong-Yi | |
| dc.date.accessioned | 2023-05-15T19:10:22Z | |
| dc.date.available | 2023-05-15T19:10:22Z | |
| dc.date.issued | 2022-11-17 | |
| dc.description.abstract | In this article we consider the Kirchhoff-Schrödinger equation -((ɑ + b ∫ℝ3 |∇u|2dx) ∆u + λu = k(x)ƒ(u), x ∈ ℝ3, where u H1(ℝ3), λ > 0, ɑ > 0, b ≥ 0 are real constants, k : ℝ3 → ℝ and ƒ ∈ C (ℝ, ℝ). To overcome the difficulties that k is non-symmetric and the non-linear, and that f is non-homogeneous, we prove the existence a positive solution using projections on a general Pohozaev type manifold, and the linking theorem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Hu, X., & Lan, Y. Y. (2022). Positive solutions for Kirchhoff-Schrodinger equations via Pohozaev manifold. <i>Electronic Journal of Differential Equations, 2022</i>(75), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16799 | |
| 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-Schrödinger equation | |
| dc.subject | Pohozaev manifold | |
| dc.subject | Cerami sequence | |
| dc.subject | Linking theorem | |
| dc.title | Positive solutions for Kirchhoff-Schrodinger equations via Pohozaev manifold | |
| dc.type | Article |