Existence of positive solutions for higher order singular sublinear elliptic equations
| dc.contributor.author | Bachar, Imed | |
| dc.date.accessioned | 2021-07-20T14:27:59Z | |
| dc.date.available | 2021-07-20T14:27:59Z | |
| dc.date.issued | 2006-08-31 | |
| dc.description.abstract | We present existence result for the polyharmonic nonlinear problem (-Δ)pmu = φ(., u) + ψ(., u), in B u > 0, in B lim|x|→1 (-Δ)jmu(x) / (1 - |x|)m-1 = 0, 0 ≤ j ≤ p - 1, in the sense of distributions. Here m, p are positive integers, B is the unit ball in ℝn(n ≥ 2) and the nonlinearity is a sum of a singular and sublinear terms satisfying some appropriate conditions related to a polyharmonic Kato class of functions J(p)m,n. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bachar, I. (2006). Existence of positive solutions for higher order singular sublinear elliptic equations. <i>Electronic Journal of Differential Equations, 2006</i>(102), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13975 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Green function | |
| dc.subject | Higher-order elliptic equations | |
| dc.subject | Positive solution | |
| dc.subject | Schauder fixed point theorem | |
| dc.title | Existence of positive solutions for higher order singular sublinear elliptic equations | |
| dc.type | Article |