Analyticité semi-globale pour le [formula omitted]-Neumann pour une classe de domaines pseudoconvexes vérifiant une inégalité de type maximal

Abstract

Under some conditions (in particular maximal type inequality) we show that the solution of the ∂ ¯ -Neumann problem is real analytic near a component of the degenerating set of the Levi form. (We give an algebraic characterization for the pseudoconvex domains of ℂ n satisfying a maximal type inequality for the ∂ ¯ -Neumann operator, at a boundary point.)