Abstract

In this paper, we first give the definition of degenerate weakly (, -quasiregular mappings by using the technique of exterior power and exterior differential forms, and then, by using Hodge decomposition and Reverse Hlder inequality, we obtain the higher integrability result: for any satisfying 0 = (n, l, , ) > l, such that every degenerate weakly (, )-quasiregular mapping f (, ) belongs to (, ), that is, f is a degenerate (, )-quasiregular mapping in the usual sense.

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