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arxiv: math/9612205 · v1 · submitted 1997-01-10 · 🧮 math.CV

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

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keywords boundarydomainsfunctionsplurisubharmonicproblemsubellipticityalgebraicd-bar
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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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