Infinitely many solutions for fractional Schrödinger equations in ℝN
| dc.contributor.author | Chen, Caisheng | |
| dc.date.accessioned | 2023-06-20T20:22:47Z | |
| dc.date.available | 2023-06-20T20:22:47Z | |
| dc.date.issued | 2016-03-30 | |
| dc.description.abstract | Using variational methods we prove the existence of infinitely many solutions to the fractional Schrödinger equation (-∆)s u + V(x)u = ƒ(x, u), x ∈ ℝN, where N ≥ 2, s ∈ (0, 1). (-∆)s stands for the fractional Laplacian. The potential function satisfies V(x) ≥ V0 > 0. The nonlinearity ƒ(x, u) is superlinear, has subcritical growth in u, and may or may not satisfy the (AR) condition. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, C. (2016). Infinitely many solutions for fractional Schrödinger equations in ℝN. Electronic Journal of Differential Equations, 2016(88), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16960 | |
| 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.title | Infinitely many solutions for fractional Schrödinger equations in ℝN | |
| dc.type | Article |