Department of Mathematics;
Northern Jiaotong University;
Beijing 100044;
P.R.China;
Institute of Applied Mathematics;
Academy of Mathematics and Systems Science;
Chinese Academy of Sciences;
Beijing 100080;
P.R.China;
Weakly K-quasiregular; Generalized Beltrami system; Very weak solutions; Hodge decomposition; Generalized reverse Holder inequality;
