Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities
| dc.contributor.author | Biswas, Reshmi | |
| dc.contributor.author | Tiwari, Sweta | |
| dc.date.accessioned | 2021-10-04T19:53:45Z | |
| dc.date.available | 2021-10-04T19:53:45Z | |
| dc.date.issued | 2020-09-23 | |
| dc.description.abstract | In this article, using Nehari manifold method we study the multiplicity of solutions of the nonlocal elliptic system involving variable exponents and concave-convex nonlinearities, (-∆)sp(∙)u = λα(x)|u|q(x)-2u + α(x)/α(x) + β(x) c(x)|u|α(x)-2 u|v|β(x), x ∈ Ω<; (-∆)sp(∙)v = μb(x)|v|q(x)-2v + α(x)/α(x) + β(x) c(x)|v|α(x)-2</sup> v|u|β(x), x ∈ Ω; u = v = 0, x ∈ Ωc := ℝN \ Ω, where Ω ⊂ ℝN, N ≥ 2 is a smooth bounded domain, λ, μ > 0 are parameters, and s ∈ (0, 1). We show that there exists Λ > 0 such that for all λ + μ < Λ, this system admits at least two non-trivial and non-negative solutions under some assumptions on q, α, β, α, b, c. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 29 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Biswas, R., & Tiwari, S. (2020). Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities. <i>Electronic Journal of Differential Equations, 2020</i>(98), pp. 1-29. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14605 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlocal problem with variable exponents | |
| dc.subject | Elliptic system | |
| dc.subject | Nehari manifold | |
| dc.subject | Fibering map | |
| dc.subject | Concave-convex nonlinearities | |
| dc.title | Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities | |
| dc.type | Article |