Multiplicity of high energy solutions for fractional Schrodinger-Poisson systems with critical frequency
| dc.contributor.author | Qu, Siqi | |
| dc.contributor.author | He, Xiaoming | |
| dc.date.accessioned | 2023-04-18T15:37:40Z | |
| dc.date.available | 2023-04-18T15:37:40Z | |
| dc.date.issued | 2022-07-05 | |
| dc.description.abstract | In this article we study the fractional Schrodinger-Poisson system ɛ2s (-Δ)s u + V(x)u = ϕ|u|2*s - 3u, x ∈ ℝ3, (-Δ)s ϕ = |u|2*s-1, x ∈ ℝ3, where s ∈ (1/2, 1), ɛ > 0 is a parameter, 2*s = 6/(3 - 2s) is the critical Sobolev exponent, V ∈ L3/2s (ℝ3) is a nonnegative function which may be zero in some region of ℝ3. By means of variational methods, we present the number of high energy bound states with the topology of the zero set of V for small ɛ. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Qu, S., & He, X. (2022). Multiplicity of high energy solutions for fractional Schrodinger-Poisson systems with critical frequency. <i>Electronic Journal of Differential Equations, 2022</i>(47), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16606 | |
| 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 | Fractional Schrödinger-Poisson system | |
| dc.subject | High energy solution | |
| dc.subject | Critical Sobolev exponent | |
| dc.title | Multiplicity of high energy solutions for fractional Schrodinger-Poisson systems with critical frequency | |
| dc.type | Article |