Anisotropic non-local problems: asymptotic behaviour and existence results
dc.contributor.author | Ahlem Yahiaoui | |
dc.contributor.author | Senoussi Guesmia | |
dc.contributor.author | Abdelmouhcene Sengouga | |
dc.date.accessioned | 2021-06-28T09:48:01Z | |
dc.date.available | 2021-06-28T09:48:01Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We deal with anisotropic singular perturbation problems in some weighted spaces of Sobolev type. The perturbed problems are elliptic, semi-linear and non-local. Using a variational approach, we establish the existence of their solutions as critical points of some C1- functionals. Besides, we study the asymptotic behaviour of these solutions with respect to the parameter of perturbation ε and, as ε → 0, we obtain existence results for some non-standard integrodifferential problems. A non-local eigenvalue problem related to the considered problems is also investigated and used to carry out this study. | en_US |
dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/24486 | |
dc.publisher | Université de M'sila | en_US |
dc.subject | Anisotropic singular perturbations; non-local problems; eigenvalues and eigenfunctions; critical points AMS SUBJECT | en_US |
dc.title | Anisotropic non-local problems: asymptotic behaviour and existence results | en_US |
dc.type | Article | en_US |
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