Existence of positive solutions for some polyharmonic nonlinear boundary-value problems
| dc.contributor.author | Maagli, Habib | |
| dc.contributor.author | Toumi, Faten | |
| dc.contributor.author | Zribi, Malek | |
| dc.date.accessioned | 2020-11-24T20:47:13Z | |
| dc.date.available | 2020-11-24T20:47:13Z | |
| dc.date.issued | 2003-05-20 | |
| dc.description.abstract | We present existence results for the polyharmonic nonlinear elliptic boundary-value problem (-Δ)m u = ƒ(·, u) in B (∂/ ∂v)j u = 0 on ∂B, 0 ≤ j ≤ m - 1. (in the sense of distributions), where B is the unit ball in ℝn and n ≥ 2. The nonlinearity ƒ(x, t) satisfies appropriate conditions related to a Kato class of functions Km,n. Our approach is based on estimates for the polyharmonic Green function with zero Dirichlet boundary conditions and on the Schauder fixed point theorem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Maagli, H., Toumi, F., & Zribi, M. (2003). Existence of positive solutions for some polyharmonic nonlinear boundary-value problems. <i>Electronic Journal of Mathematical Equations, 2003</i>(58), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12998 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Green function | |
| dc.subject | Positive solution | |
| dc.subject | Schauder fixed point theorem | |
| dc.subject | Singular polyharmonic elliptic equation | |
| dc.title | Existence of positive solutions for some polyharmonic nonlinear boundary-value problems | |
| dc.type | Article |