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RESEARCH PRODUCT

A short proof of the self-improving regularity of quasiregular mappings

Xiao ZhongDaniel Faraco

subject

Feature (linguistics)Complex dynamicsPure mathematicsApplied MathematicsGeneral MathematicsExistential quantificationMathematical analysisExponentVariety (universal algebra)Mathematics

description

. The theoryof quasiregular mappings is a central topic in modern analysis withimportant connections to a variety of topics as elliptic partial differen-tial equations, complex dynamics, differential geometry and calculus ofvariations [13] [10].A remarkable feature of quasiregular mappings is the self-improvingregularity. In 1957 [2], Bojarski proved that for planar quasiregularmappings, there exists an exponent

https://doi.org/10.1090/s0002-9939-05-07931-1