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
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.
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