On lipschitz continuity of harmonic quasiregular maps on the unit ball in Rn
Author
Source
Journal of Babylon University : Journal of Applied and Pure Sciences
Issue
Vol. 18, Issue 1 (31 Mar. 2010)5 p.
Publisher
Publication Date
2010-03-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract AR
في هذا العمل درسنا استمرارية ليبشتز إلى f : S n-1 ®R .
استمرارية ليبشتز إلى f : S n-1 ®R .
تؤدي إلى استمرارية ليبشتز إلى توسيعها التوافقي u = P[f ] : Bn ®Rn على شرط أن يكون u تطبيق شبه منتظم.
استمرارية هولدر إلى f : S n-1 ®R تؤدي إلى استمرارية هولدر إلى توسيعها التوافقي u = P[f ] : Bn ®Rn بدون أن نفرض أن u هي تطبيق شبه منتظم.
Abstract EN
IIn this work, we study Lipchitz continuity of .
Lipchitz continuity of ∅∶Sn-1→Rn Lipchitz continuity of ∅∶Sn-1→Rn implies Lipchitz continuity of its harmonic extension u=P[∅] ∶Bn→Rn provided u is a quasiregular map.
The analogous statement is true for Holder continuity of P[∅] ∶Bn→Rn without the assumption of quasiregular of its harmonic extension u=P[∅] ∶Bn→Rn .
American Psychological Association (APA)
Shihab, Ahmad Wadi. 2010. On lipschitz continuity of harmonic quasiregular maps on the unit ball in Rn. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 18, no. 1.
https://search.emarefa.net/detail/BIM-287556
Modern Language Association (MLA)
Shihab, Ahmad Wadi. On lipschitz continuity of harmonic quasiregular maps on the unit ball in Rn. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 18, no. 1 (2010).
https://search.emarefa.net/detail/BIM-287556
American Medical Association (AMA)
Shihab, Ahmad Wadi. On lipschitz continuity of harmonic quasiregular maps on the unit ball in Rn. Journal of Babylon University : Journal of Applied and Pure Sciences. 2010. Vol. 18, no. 1.
https://search.emarefa.net/detail/BIM-287556
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references.
Record ID
BIM-287556
