A steady state of morphogen gradients for semilinear elliptic systems
| dc.contributor.author | Kim, Eun Heui | |
| dc.date.accessioned | 2021-05-24T20:56:21Z | |
| dc.date.available | 2021-05-24T20:56:21Z | |
| dc.date.issued | 2005-06-15 | |
| dc.description.abstract | In this paper we establish the existence of positive solutions to a system of steady-state Neumann boundary problems. This system has been observed in some biological experiments, morphogen gradients; effects of Decapentaplegic (Dpp) and short gastrulation (Sog). Mathematical difficulties arise from this system being nonquasimonotone and semilinear. We overcome such difficulties by using the fixed point iteration via upper-lower solution methods. We also discuss an example, the Dpp-Sog system, of such problems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kim, E. H. (2005). A steady state of morphogen gradients for semilinear elliptic systems. <i>Electronic Journal of Differential Equations, 2005</i>(62), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13645 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Elliptic systems | |
| dc.subject | Nonquasimonotone | |
| dc.subject | Morphogen gradients | |
| dc.title | A steady state of morphogen gradients for semilinear elliptic systems | en_US |
| dc.type | Article |