Dieb, Abdelrazek2021-04-082021-04-082019-12-18salle des thèsesDOC516-07-01https://dspace.univ-tlemcen.dz/handle/112/16303Problèmes elliptiques semilinéaires fractionnaires, opérateur non local, inégalité de Hardy fractionnaire, conditions de Dirichlet-Neumann non locale, conjecture Lazer-McKenna fractionnaireIn this thesis, we are interested in studying non-local semi linear elliptic problems with Dirichlet or Dirichlet-Neumann external boundary conditions. Our objective is to generalize the same type of existence and multiplicity results, known in the case of the Laplacian, in the case of the fractional Laplacian.frFractional semilinear elliptic problems, non-local operator, fractional Hardy inequality, non-local Dirichlet-Neumann conditions, fractional Lazer-McKenna conjectureThesis