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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.

Plurisubharmonic functions and subellipticity of the $\bar\partial$-Neumann problem on non-smooth domains