Good Stein neighborhood bases and regularity of the -Neumann problem
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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.
Illinois Journal of Mathematics
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