Fractional and non-homogeneous eigenvalue problems
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Date
2024
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University of Oum El Bouaghi
Abstract
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.
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Keywords
Existence; Regularity results; Fractional p