A note on a Liouville-type result for a system of fourth-order equations in RN
dc.contributor.author | Domingos, Ana Rute | |
dc.contributor.author | Guo, Yuxia | |
dc.date.accessioned | 2020-09-08T20:04:06Z | |
dc.date.available | 2020-09-08T20:04:06Z | |
dc.date.issued | 2002-11-27 | |
dc.description.abstract | We consider the fourth order system Δ2u = vα, Δ2v = uβ in ℝN, for N ≥ 5, with α ≥ 1, β ≥ 1, where Δ2 is the bilaplacian operator. For 1/(α + 1) + 1 / (β + 1) > (N - 4) / N we prove the non-existence of non-negative, radial, smooth solutions. For α, β ≤ (N + 4) / (N - 4) we show the non-existence of non-negative smooth solutions. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 20 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Domingos, A. R., & Guo, Y. (2002). A note on a Liouville-type result for a system of fourth-order equations in RN. Electronic Journal of Differential Equations, 2002(99), pp. 1-20. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/12539 | |
dc.language.iso | en | |
dc.publisher | Southwest 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, 2002, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Elliptic system of fourth order equations | |
dc.subject | Moving-planes | |
dc.title | A note on a Liouville-type result for a system of fourth-order equations in RN | |
dc.type | Article |