Plurisubharmonic functions and subellipticity of the dbar-Neumann problem on nonsmooth domains

Details Plurisubharmonic functions and subellipticity of the dbar-Neumann problem on nonsmooth domains Plurisubharmonic functions and subellipticity of the dbar-Neumann problem on nonsmooth domains

1997-01-10

arxiv.org/abs/math/9612205v1

Mathematics

Complex Variables

Scientific paper

We show subellipticity of the d-bar Neumann problem on domains with Lipschitz
boundary in the presence of plurisubharmonic functions with Hessians of
algebraic growth. In particular, a subelliptic estimate holds near a point
where the boundary is piecewise smooth of finite type.

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