Radial solutions for inhomogeneous biharmonic elliptic systems
| dc.contributor.author | Demarque, Reginaldo | |
| dc.contributor.author | da Hora Lisboa, Narciso | |
| dc.date.accessioned | 2022-01-26T14:46:24Z | |
| dc.date.available | 2022-01-26T14:46:24Z | |
| dc.date.issued | 2018-03-14 | |
| dc.description.abstract | In this article we obtain weak radial solutions for the inhomogeneous elliptic system ∆2u + V1(|x|)|u|q-2u = Q(|x|)Fu(u, v) in ℝN, ∆2v + V2(|x|)|v|q-2v = Q(|x|)Fv(u, v) in ℝN, u, v ∈ D2,2 0 (ℝN), N ≥ 5, where ∆2 is the biharmonic operator, Vi, Q ∈ C0 ((0, +∞), [0, +∞)), i = 1, 2, are radially symmetric potentials, 1 < q < N, q ≠ 2, and F is a s-homogeneous function. Our approach relies on an application of the Symmetric Mountain Pass Theorem and a compact embedding result proved in [17]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Demarque, R., & da Hora Lisboa, N. (2018). Radial solutions for inhomogeneous biharmonic elliptic systems. <i>Electronic Journal of Differential Equations, 2018</i>(67), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15209 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Biharmonic operator | |
| dc.subject | Elliptic systems | |
| dc.subject | Existence of solutions | |
| dc.subject | Radial solutions | |
| dc.subject | Mountain Pass Theorem | |
| dc.title | Radial solutions for inhomogeneous biharmonic elliptic systems | |
| dc.type | Article |