Multiplicity of Positive Solutions and the Method of Upper and Lower Solutions for Nonlinear Elliptic Pdes
| dc.contributor.advisor | Abdi, Tadesse (PhD) | |
| dc.contributor.author | Mershaye, Dagmawit | |
| dc.date.accessioned | 2021-11-16T06:56:01Z | |
| dc.date.accessioned | 2023-11-04T12:31:26Z | |
| dc.date.available | 2021-11-16T06:56:01Z | |
| dc.date.available | 2023-11-04T12:31:26Z | |
| dc.date.issued | 2021-10-19 | |
| dc.description.abstract | In this paper, we are interested in the positive solutions of nonlinear elliptic boundary value problems on a bounded domain. We establish the existence, uniqueness and multiplicity of positive solutions for the nonlinear elliptic boundary value problem of autonomous type, ( Lu = f (x, u) in W Bu = c(x) on ¶W and then proceed to establish conditions for existence and uniqueness of positive global solutions for the non-autonomous type elliptic BVP, 8>< >: ut 4u = f (x, t, u) in D Bu = c(x, t) on ¶D u(x, 0) = u0(x) in W We employ the method of lower and upper solutions along with the monotone iterative techniques to this end. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/28687 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Multiplicity | en_US |
| dc.subject | Positive Solutions | en_US |
| dc.subject | Method of Upper and Lower Solutions | en_US |
| dc.subject | Nonlinear Elliptic PDEs | en_US |
| dc.title | Multiplicity of Positive Solutions and the Method of Upper and Lower Solutions for Nonlinear Elliptic Pdes | en_US |
| dc.type | Thesis | en_US |