A big Picard theorem for quasiregular mappings into manifolds with many ends

Author:

Holopainen Ilkka,Pankka Pekka

Abstract

We study quasiregular mappings from a punctured Euclidean ball into n n -manifolds with many ends and prove, by using Harnack’s inequality, a version of the big Picard theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

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2. Uniform limits of certain 𝐴-harmonic functions with applications to quasiregular mappings;Eremenko, Alexandre;Ann. Acad. Sci. Fenn. Ser. A I Math.,1991

3. Oxford Mathematical Monographs;Iwaniec, Tadeusz,2001

4. Oxford Mathematical Monographs;Heinonen, Juha,1993

5. A Picard type theorem for quasiregular mappings of 𝑅ⁿ into 𝑛-manifolds with many ends;Holopainen, Ilkka;Rev. Mat. Iberoamericana,1992

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