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On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition
by
Melliani, Said
, Sabiry, Abdelaziz
, Kassidi, Abderrazak
, Zineddaine, Ghizlane
in
Mathematics
/ Mathematics and Statistics
/ Partial Differential Equations
2024
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On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition
by
Melliani, Said
, Sabiry, Abdelaziz
, Kassidi, Abderrazak
, Zineddaine, Ghizlane
in
Mathematics
/ Mathematics and Statistics
/ Partial Differential Equations
2024
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On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition
Journal Article
On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition
2024
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Overview
The objective of this article is to investigate the existence of a weak solution to a class of nonlocal-type problem with Neumann boundary condition, which involves a reaction term that relies on the gradient of the solution, and a multivalued term. Our approach is based on the topological degree theory for a class of weakly upper semi-continuous, locally bounded set-valued operators of (
S
+
) type. The novelty of our work lies in the fact that we are able to manage three major characteristics simultaneously: a convection term, a nonlocal operator and a discontinuous nonlinearity.
Publisher
Springer International Publishing,Springer Nature B.V
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