Existence of infinitely solutions for a modified nonlinear Schrodinger equation via dual approach
| dc.contributor.author | Zhang, Xinguang | |
| dc.contributor.author | Liu, Lishan | |
| dc.contributor.author | Wu, Yonghong | |
| dc.contributor.author | Cui, Yujun | |
| dc.date.accessioned | 2022-02-22T14:31:49Z | |
| dc.date.available | 2022-02-22T14:31:49Z | |
| dc.date.issued | 2018-07-31 | |
| dc.description.abstract | In this article, we focus on the existence of infinitely many weak solutions for the modified nonlinear Schrödinger equation -∆u + V(x)u - [∆(1 + u2)α/2] αu/2(1 + u2)2-α/2 = ƒ(x, u), in ℝN, where 1 ≤ α < 2, ƒ ∈ C(ℝN x ℝ, ℝ). By using a symmetric mountain pass theorem and dual approach, we prove that the above equation has infinitely many high energy solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, X., Liu, L., Wu, Y., & Cui, Y. (2018). Existence of infinitely solutions for a modified nonlinear Schrodinger equation via dual approach. <i>Electronic Journal of Differential Equations, 2018</i>(147), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15396 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Modified nonlinear Schrödinger equation | |
| dc.subject | Dual approach | |
| dc.subject | Critical point theorems | |
| dc.subject | Multiplicity | |
| dc.subject | Variational methods | |
| dc.title | Existence of infinitely solutions for a modified nonlinear Schrodinger equation via dual approach | |
| dc.type | Article |