arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math/9612205math.CV
收藏

非光滑区域上dbar-Neumann问题的多重次调和函数与次椭圆性

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

Emil J. Straube

摘要:

在具有代数增长的Hessian函数的多重次调和函数存在的情况下,证明了具有Lipschitz边界的区域上的d-杆Neumann问题的亚椭圆性.特别地,亚椭圆估计在边界为有限型分段光滑的点附近成立。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑