Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems
| dc.contributor.author | de Albuquerque, Jose Carlos | |
| dc.contributor.author | Clemente, Rodrigo | |
| dc.contributor.author | Ferraz, Diego | |
| dc.date.accessioned | 2021-10-15T13:28:40Z | |
| dc.date.available | 2021-10-15T13:28:40Z | |
| dc.date.issued | 2019-01-25 | |
| dc.description.abstract | We study the Kirchhoff-Schrödinger-Poisson system m([u]2α) (-Δ)α u + V(x)u + k(x)φu = ƒ(x, u), x ∈ ℝ3, (-Δ)β φ = k(x)u2, x ∈ ℝ3, where [∙]α denotes the Gagliardo semi-norm, (-Δ)α denotes the fractional Laplacian operator with α, β ∈ (0, 1], 4α + 2β ≥ 3 and m : [0, +∞) → [0, +∞) is a Kirchhoff function satisfying suitable assumptions. The functions V(x) and k(x) are nonnegative and the nonlinear term ƒ(x, s) satisfies certain local conditions. By using a variational approach, we use a Kajikiya's version of the symmetric mountain pass lemma and Moser iteration method to prove the existence of infinitely many small solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | de Albuquerque, J. C., Clemente, R., & Ferraz, D. (2019). Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems. <i>Electronic Journal of Differential Equations, 2019</i>(13), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14656 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Kirchhoff-Schrödinger-Poisson equation | |
| dc.subject | Fractional Laplacian | |
| dc.subject | Variational method | |
| dc.title | Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems | |
| dc.type | Article |