English

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

Complex Variables 2008-02-03 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9612205,
  title  = {Plurisubharmonic functions and subellipticity of the dbar-Neumann problem on nonsmooth domains},
  author = {Emil J. Straube},
  journal= {arXiv preprint arXiv:math/9612205},
  year   = {2008}
}