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Mappings with finite distortion and arbitrary Jacobian sign
Titel:
Mappings with finite distortion and arbitrary Jacobian sign
Auteur:
Cristea, Mihai
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 52 (2007) nr. 1 pagina's 43-57
Jaar:
2007-01-01
Inhoud:
We consider some classes of mappings [image omitted] which are ACLn and [image omitted] a.e. Such mappings generalize quasiregular mappings, but are not necessarily open, and the Jacobian not necessarily a constant sign and satisfy the K0(f) inequality. We also consider nonopen and nonsingular mappings [image omitted] with bounded dilatation Kα and we show that such mappings satisfy a strong ACL condition, extending in this way some results from (Kallunki, 2002, Mappings of finite distortion: The metric definition. Ann. Acad. Sci. Fenn, Math., Diss.., 131, 1-33).
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
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