Fractional Schrödinger equations with new conditions
| dc.contributor.author | Benhassine, Abderrazek | |
| dc.date.accessioned | 2021-12-17T16:23:17Z | |
| dc.date.available | 2021-12-17T16:23:17Z | |
| dc.date.issued | 2018-01-04 | |
| dc.description.abstract | In this article, we study the nonlinear fractional Schrödinger equation (-∆)αu + V(x)u = ƒ(x, u) u ∈ Hα (ℝn, ℝ), where (-∆)α(α ∈ (0, 1)) stands for the fractional Laplacian of order α, x ∈ ℝn, V ∈ C(ℝn, ℝ) may change sign and ƒ is only locally defined near the origin with respect to u. Under some new assumptions on V and ƒ, we show that the above system has infinitely many solutions near the origin. Some examples are also given to illustrate our main theoretical result. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Benhassine, A. (2018). Fractional Schrödinger equations with new conditions. <i>Electronic Journal of Differential Equations, 2018</i>(05), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15060 | |
| 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 Schrödinger equations | |
| dc.subject | Critical point theory | |
| dc.subject | Symmetric mountain pass theorem | |
| dc.title | Fractional Schrödinger equations with new conditions | |
| dc.type | Article |