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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Nonunique tangent maps at isolated singularities of harmonic maps


Author: Brian White
Journal: Bull. Amer. Math. Soc. 26 (1992), 125-129
MSC (2000): Primary 58E20; Secondary 49Q99
MathSciNet review: 1108901
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Abstract: Shoen and Uhlenbeck showed that "tangent maps" can be defined at singular points of energy minimizing maps. Unfortunately these are not unique, even for generic boundary conditions. Examples are discussed which have isolated singularities with a continuum of distinct tangent maps.


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DOI: https://doi.org/10.1090/S0273-0979-1992-00254-9
Article copyright: © Copyright 1992 American Mathematical Society