Imane Boussetouan, Cherif Amrouche
Abstract:
In this article we study elliptic systems involving nonstandard mixed boundary
conditions in a bounded domain, possibly multiply connected.
We prove the existence and uniqueness of weak and strong solutions of such
problems in the Hilbert setting. Then, we generalize
our results to the \(L^p\)-theory using some inf-sup conditions.
Submitted September 10, 2024. Published November 3, 2025.
Math Subject Classifications: 35J05, 35J57, 35D35.
Key Words: Elliptic systems; mixed boundary conditions; Navier-type boundary condition;
weak and strong solutions; L^p-theory
DOI: 10.58997/ejde.2025.103
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Imane Boussetouan National Higher School of Technology and Engineering Department CPST, Annaba 23005, Algeria email: i.boussetouan@ensti-annaba.dz |
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| Chérif Amrouche LMAP, UMR CNRS 5142, Batiment IPRA Avenue de l'Université BP 1155 Pau Cedex,64013, France email: cherif.amrouche@univ-pau.fr |
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