Browsing by Author "Guezainia, Houda"

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    Fractional and non-homogeneous eigenvalue problems
    (University of Oum El Bouaghi, 2024) Guezainia, Houda; Gouasmia, Abdelhamid
    The main objective of this thesis is to study the existence , non-existence , and regularity of the weak solution of the fractional non-homogenous problem involving fractional and non-homogenous operateurs by using the mountain pass theorem . We divided this work into two chapters: In the first chapter, we begin by providing an overview of the functional analysis used in this work and define the fractional sobolev espaceWs,p(Ù) ,moreover, definemethod of mountain pass theorem . the second chapter study the existence,non-existence, and regularity of the weak solutions.