A Generalization Of Weak WT₂-class Of Differential Forms And Its Applications

WT-class of differential forms were introduced by Franke et al in2002, and theyhave applications in the regularity theories of divergence type elliptic equations andquasiregular mappings. Franke et al defined four kinds of WT differential forms, and gavesome applications. Gao and Wang WeakWT2-class of differential forms was defined in2010, and some applications to the regularity theory of partial differential equations aregive.In this paper, we give a generalization of weakWT2-class of differential forms, andobtained a weakly reverse H lder inequality for this class of differential forms. Then wegive some applications of weakWT2-class of differential forms to the regularity theory ofweakly K1,K2-quasiregular mappings, weak A-harmonic tensors and generalizedsolutions of Beltrami system with three characteristic matrices.