Multiple solutions for discontinuous elliptic problems involving the fractional Laplacian
| dc.contributor.author | Bae, Jung-Hyun | |
| dc.contributor.author | Kim, Yun-Ho | |
| dc.date.accessioned | 2021-10-15T16:25:47Z | |
| dc.date.available | 2021-10-15T16:25:47Z | |
| dc.date.issued | 2019-01-30 | |
| dc.description.abstract | In this article, we establish the existence of three weak solutions for elliptic equations associated to the fractional Laplacian (-∆)su = λƒ(x, u) in Ω, u = 0 on ℝN \ Ω, where Ω is an open bounded subset in ℝN with Lipschitz boundary, λ is a real parameter, 0 < s < 1, N > 2s, and ƒ : Ω x ℝ → ℝ is measurable with respect to each variable separately. The main purpose of this paper is concretely to provide an estimate of the positive interval of the parameters λ for which the problem above with discontinuous nonlinearities admits at least three nontrivial weak solutions by applying two recent three-critical-points theorems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bae, J. H., & Kim, Y. H. (2019). Multiple solutions for discontinuous elliptic problems involving the fractional Laplacian. Electronic Journal of Differential Equations, 2019(18), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14660 | |
| 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 | Fractional Laplacian | |
| dc.subject | Three-critical-points theorem | |
| dc.subject | Multiple solutions | |
| dc.title | Multiple solutions for discontinuous elliptic problems involving the fractional Laplacian | |
| dc.type | Article |