A Singular Boundary Value Problem for a Degenerate Elliptic Partial Differential Equation
| dc.contributor.advisor | Mohammed, Seid (PhD) | |
| dc.contributor.author | Biset, Tesfa | |
| dc.date.accessioned | 2018-07-18T08:33:11Z | |
| dc.date.accessioned | 2023-11-04T12:30:43Z | |
| dc.date.available | 2018-07-18T08:33:11Z | |
| dc.date.available | 2023-11-04T12:30:43Z | |
| dc.date.issued | 2015-06 | |
| dc.description.abstract | A singular boundary value problem associated with the 8-Laplace equation having, in general a non-separable inhomogeneous term is considered. The existence of ground state solution in viscosity sense to such a problem in bounded domains as well as in the whole Euclidean space RN, for N ¥ 2 is established. The investigation of the problem is mainly based on sub-solution and super-solution methods, and existence of principal eigenfunctions to the eigenvalue of Dirichlet type problem 8ufpx; uq; u ¡ 0 in an open set and upxq 0 on B , corresponding to the 8-Laplace equation. Keywords: 8-Laplacian, Viscosity solution, Principal eigenvalue, Principal eigenfunction | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9232 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Laplacian | en_US |
| dc.subject | Viscosity Solution | en_US |
| dc.subject | Principal Eigenvalue | en_US |
| dc.subject | Principal Eigenfunction | en_US |
| dc.title | A Singular Boundary Value Problem for a Degenerate Elliptic Partial Differential Equation | en_US |
| dc.type | Thesis | en_US |