Browsing by Author "Fareh, Souraya"
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Item Existence and multiplicity of solutions for certain nonlinear elliptic problems(Université Echahid Cheikh Larbi-Tebessi -Tébessa, 2023) Fareh, SourayaThe problem addressed in this thesis concerns the study of some nonlinear elliptic problems. Our approach is based on variational methods. First, we studied a critical Schrödinger- Kirchhoff type system involving the fractional p-Laplacian operator with Dirichlet boundary conditions, where we proved the existence of two weak solutions by using the Nehari manifold and the fibering method. Second, we considered a class of p(x)-Laplacian problems. By applying the mountain pass theorem and fountain theorem, respectively, the existence and multiplicity of solutions were obtained.Item Existence de solution faible postive pour des systemes elliptiques de type Kirrchoff(Universite laarbi tebessi tebessa, 2019) Mecheri, Amel; Fareh, SourayaEn utilisant la mÈthode de sous et sur solution pour montrer líexistence de solution faible positive des systËmes elliptiques avec condition de type Dirichlet au bord.