ETUDE D’EXISTENCE ET NON EXISTENCES DE SOLUTIONS DE CERTAINES CLASSES D’EQUATIONS ET DES SYSTEMES ELLIPTIQUES SEMI-LINEAIRES
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Date
2021-06-10
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Abstract
The work presented in this thesis is devoted to studying the existence and
multiplicity of non-trivial positive solutions of a singular fractional elliptic type
system associated with the fractional p-Laplacian operator in a bounded domain
R
N . The results are obtained using some of the variational techniques, Nehari
Manifold, Fibering method (F.M), and applying the Ekeland variational principle.