摘要
Some new properties of polarizable Carnot group are given.By choosing a proper constant a nontrivial solution of a class of non-divergence Dirichlet problem on the polarizable Carnot group is constructed.Thus the multi-solution property of corresponding non-homogeneous Dirichlet problem is proved and the best possible of LQ norm in the famous Alexandrov-Bakelman-Pucci type estimate is discussed.
Some new properties of polarizable Carnot group are given. By choosing a proper constant a nontrivial solution of a class of non-divergence Dirichlet problem on the polarizable Carnot group is constructed. Thus the multi-solution property of corresponding nonhomogeneous Dirichlet problem is proved and the best possible of L^Q norm in the famous Alexandrov-Bakelman-Pucci type estimate is discussed.
基金
SupportedbytheNationalNaturalScienceFoundationofChina(10371099).
