Fractional elliptic equations with critical growth and singular nonlinearities
| dc.contributor.author | Mukherjee, Tuhina | |
| dc.contributor.author | Sreenadh, Konijeti | |
| dc.date.accessioned | 2023-06-14T18:42:18Z | |
| dc.date.available | 2023-06-14T18:42:18Z | |
| dc.date.issued | 2016-02-23 | |
| dc.description.abstract | In this article, we study the fractional Laplacian equation with critical growth and singular nonlinearity (-∆)su = λα(x)u-q + u2*s-1, u > 0 in Ω, u = 0 in ℝn\Ω, where Ω is a bounded domain in ℝn with smooth boundary ∂Ω, n > 2s, s ∈ (0, 1), λ > 0, 0 < q ≤ 1, θ ≤ α(x) ∈ L∞(Ω), for some θ > 0 and 2*s = 2n/n-2s. We use variational methods to show the existence and multiplicity of positive solutions of the above problem with respect to the parameter λ. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mukherjee, T., & Sreenadh, K. (2016). Fractional elliptic equations with critical growth and singular nonlinearities. Electronic Journal of Differential Equations, 2016(54), pp. 1-23. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16928 | |
| 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, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlocal operator | |
| dc.subject | Fractional Laplacian | |
| dc.subject | Singular nonlinearities | |
| dc.title | Fractional elliptic equations with critical growth and singular nonlinearities | en_US |
| dc.type | Article |