Some Global Estimates for the Jacobians of Quasiregular Mappings

Some global estimates for the Jacobians of quasiregular mappings f = ($f^1$, $f^2$, ${\cdots}$, $f^n$) of the Sobolev class $W^{1,n}$(${\Omega}$, $R^n$) in $L^{\varphi}({\mu})$-domains and John domains are established.

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Bibliographic Details
Published inKyungpook mathematical journal Vol. 51; no. 1; pp. 29 - 36
Main Authors Gao, Hongya, Ren, Suna, Sun, Lanxiang
Format Journal Article
LanguageKorean
Published 2011
Subjects
John domain
quasiregular mapping
L^{\varphi}({\mu})$-domain
Jacobian
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Summary:Some global estimates for the Jacobians of quasiregular mappings f = ($f^1$, $f^2$, ${\cdots}$, $f^n$) of the Sobolev class $W^{1,n}$(${\Omega}$, $R^n$) in $L^{\varphi}({\mu})$-domains and John domains are established.
Bibliography:KISTI1.1003/JNL.JAKO201117241417314
ISSN:1225-6951
0454-8124