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On Degenerate Weakly (K1,K2)-quasiregular Mappings

Posted on:2007-03-05Degree:MasterType:Thesis
Country:ChinaCandidate:T LiFull Text:PDF
GTID:2120360182985567Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Paper [2] has given the definition of weakly (K1, K2)-quasiregular mappings and acquired the regularity result. In this paper, we study the generate case by using exterior power and exterior differential forms, which will make the prove process easier. We first give the definition of degenerate weakly (K1, K2)-quasiregular mappings by using the technique of exterior power and exterior differential forms, and then, by using the method of McShane extension to obtain a useful inequality for them, which can be used to derive the self-improving regularity.
Keywords/Search Tags:Degenerate weakly (K1,K2)-quasiregular mapping, exterior power, exterior differential form, McShane extension
PDF Full Text Request
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