Discrete Picone inequalities and some applications

dc.contributor.authorOuennas, Oumaima
dc.contributor.authorBekhouche, Amel
dc.contributor.authorGouasmia, Abdelhamid
dc.date.accessioned2023-11-28T17:25:19Z
dc.date.available2023-11-28T17:25:19Z
dc.date.issued2023
dc.description.abstractThe main objective of this thesis is to study some problems related to eigenvalues and singular ones. We employ variational methods in order to show the existence of positive weak solutions in both cases. Thanks to the results obtained recently research together with a new version of the Picone inequality, we also establish the uniqueness results. We divided this work into three chapters: In the first chapter, we begin by recalling some of the basic and preliminary concepts used in this work. The second chapter deals with the definition of Picone inequality in local and non-local cases, which we will need in the next chapter. The third chapter deals with the presence of existence, non-existence, regularity, and the uniqueness of the weak solution to two problems related to non-local and non-homogeneous operators, the first for the generalized eigenvalues and the second for the singular.
dc.identifier.urihttp://dspace.univ-oeb.dz:4000/handle/123456789/17082
dc.language.isoen
dc.publisherUniversité d'Oum El Bouaghi
dc.titleDiscrete Picone inequalities and some applications
dc.typeOther
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