Good Stein neighborhood bases and regularity of the ∂̄-Neumann problem Academic Article uri icon


  • We show that the ∂̄-Neumann problem is globally regular on a smooth bounded pseudoconvex domain in ℂn whose closure admits a sufficiently nice Stein neighborhood basis. We also discuss (what turns out to be) a generalization: global regularity holds as soon as the weakly pseudoconvex directions at boundary points are limits, from inside, of weakly pseudoconvex directions of level sets of the boundary distance.

author list (cited authors)

  • Straube, E. J.

publication date

  • September 2001