Regularity of Degenerate Weakly Quasiregular Mappings
Received:April 26, 1999  
Key Words: degenerate weakly quasiregular mappings   Hodge decomposition   reverse Holder inequality   regularity.  
Fund Project:
Author NameAffiliation
GAO Hong-ya College of Math. Comp. Sci.
Hebei University
Baoding
China
Dept. of Appl. Math.
Shanghai Jiaotong University
Shanghai 
WU Ze-min Dept. of Appl. Math.
Shanghai Jiaotong University
Shanghai
Dept. of Math.
Quanzhou Normal Univ.
Quanzhou
China 
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Abstract:
      In this paper, degenerate weakly quasiregular mappings are considered. The regularity result is proved by using the technique of Hodge decomposition and reverse Holder inequality: there exists q1=q1（n,l,K）1,q1loc(Ω,Rn)，we have f∈W1,lloc(Ω,Rn), that is,f is a degenerate quasiregular mapping.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.04.017
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