An example of a harmonic map between Euclidean balls-Reference-Cited by-同舟云学术

An example of a harmonic map between Euclidean balls

Published:1993 Issue:3 Volume:117 Page:857-859
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Melas Antonios D.

Abstract

Here we construct a homeomorphism of the unit sphere in three-dimensional Euclidean space to itself whose harmonic extension in the unit ball is not a diffeomorphism.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-117-03/S0002-9939-1993-1112497-9/S0002-9939-1993-1112497-9.pdf

Reference3 articles.

1. Sur un type de transformation analytique généralisant la représentation conforme et définie au moyen de fonctions harmoniques;Choquet, Gustave;Bull. Sci. Math. (2),1945

2. H. Kneser, Lösung der Aubgabe 41, Jber. Deutsch. Math.-Verein. 35 (1926), 123-124.

3. T. Radó, Augabe 41, Jber. Deutsch. Math.-Verein. 35 (1926), 49.

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