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The stability of domain and the pinching of energy about harmonic maps

✍ Scribed by Wang Youning


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1990
Tongue
English
Weight
352 KB
Volume
6
Category
Article
ISSN
1439-7617

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We study the relations between energy gap and multiplicity of harmonic maps for the Dirichlet problem. We show that if energy gap occurs, then there exist infinitely many weakly harmonic maps for the Dirichlet problem under some topological assumptions of the target manifold. (C) 1995 Academic Press