Infinitely many solutions for sublinear fractional Schrodinger-type equations with general potentials
| dc.contributor.author | Hou, Gang-Ling | |
| dc.contributor.author | Ge, Bin | |
| dc.contributor.author | Lu, Jian-Fang | |
| dc.date.accessioned | 2022-02-02T14:47:11Z | |
| dc.date.available | 2022-02-02T14:47:11Z | |
| dc.date.issued | 2018-04-24 | |
| dc.description.abstract | This article concerns the fractional Schrödinger type equations (-∆)αu + V(x)u = ƒ(x, u) in ℝN, where N ≥ 2, α ∈ (0, 1), (-∆)α stands for the fractional Laplacian, V is a positive continuous potential, ƒ ∈ C(ℝN x ℝ, ℝ). We establish criteria that guarantee the existence of infinitely many solutions by using the genus properties in critical point theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Hou, G. L., Ge, B., & Lu, J. F. (2018). Infinitely many solutions for sublinear fractional Schrodinger-type equations with general potentials. Electronic Journal of Differential Equations, 2018(97), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15264 | |
| 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 | Fractional Laplacian | |
| dc.subject | Variational method | |
| dc.subject | Sublinear | |
| dc.subject | Genus | |
| dc.title | Infinitely many solutions for sublinear fractional Schrodinger-type equations with general potentials | |
| dc.type | Article |