Abstract:

The authors first give the definition of degenerate weakly (K₁,K₂)-quasiregular mappings using the technique of exterior power and exterior differential forms, and then, using the method of McShane extension,
a useful inequality is obtained, which can be used to derive the self-improving regularity.

Key words: Degenerate weakly (K₁, K₂)-quasiregular mapping, exterior power, exterior
differential form, McShane extension