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 n 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.

published proceedings

  • Illinois Journal of Mathematics

author list (cited authors)

  • Straube, E. J.

complete list of authors

  • Straube, EJ

publication date

  • September 2001