Anisotropic non-local problems: asymptotic behaviour and existence results

dc.contributor.authorAhlem Yahiaoui
dc.contributor.authorSenoussi Guesmia
dc.contributor.authorAbdelmouhcene Sengouga
dc.date.accessioned2021-06-28T09:48:01Z
dc.date.available2021-06-28T09:48:01Z
dc.date.issued2021
dc.description.abstractWe 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.urihttp://dspace.univ-msila.dz:8080//xmlui/handle/123456789/24486
dc.publisherUniversité de M'silaen_US
dc.subjectAnisotropic singular perturbations; non-local problems; eigenvalues and eigenfunctions; critical points AMS SUBJECTen_US
dc.titleAnisotropic non-local problems: asymptotic behaviour and existence resultsen_US
dc.typeArticleen_US

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