Singular Perturbations Method for Partial Di¤erential Equations
| dc.contributor.author | Yahiaoui Ahlem | |
| dc.date.accessioned | 2021-06-28T09:46:25Z | |
| dc.date.available | 2021-06-28T09:46:25Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this thesis we deal with anisotropic singular perturbations of some integro-differential problems, depending on a small parameter of perturbation # > 0. These problems involve elliptic equations of semilinear and quasilinear types with some non-local nonlinearities. Using a variational approach, we establish the existence of their solutions as critical points of some C1-functionals in anisotropic weighted Sobolev type spaces. The main goal of this thesis is to study the asymptotic behaviour of these solutions with respect to the parameter of perturbation #. As # ! 0, some existence results for non-standard integro-differential problems are established. Keywords and phrases: Anisotropic singular perturbations, asymptotic behaviour, elliptic problems, non-local terms, critical points, semilinear problems, quasilinear problems. | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/24485 | |
| dc.publisher | Université de M'sila | en_US |
| dc.title | Singular Perturbations Method for Partial Di¤erential Equations | en_US |
| dc.type | Article | en_US |