Boukassa, SalihaAmrouche, Chérif2024-03-102024-03-1020240170-4214https://onlinelibrary.wiley.com/doi/10.1002/mma.9893https://doi.org/10.1002/mma.9893https://dspace.univ-boumerdes.dz/handle/123456789/13668In this paper, we study a linear elliptic system involving Navier-type boundary conditions or tangential components in a three-dimensional bounded domain, possibly multiply connected and with boundary possibly nonconnected. We establish an appropriate Inf-Sup condition and then we prove the existence and uniqueness of the generalized solutions in (Formula presented.) -theory. We also investigate the case of strong solutions.enElliptic problemInf-Sup conditionLp-theoryNavier-type boundary conditionLp-theory for elliptic systems without divergence constraint and with Navier-type boundary conditionArticle