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The maximum principle and the Dirichlet problem for Dirac-harmonic maps

✍ Scribed by Qun Chen, Jürgen Jost, Guofang Wang


Book ID
120914010
Publisher
Springer
Year
2012
Tongue
English
Weight
368 KB
Volume
47
Category
Article
ISSN
0944-2669

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Energy Gap Phenomenon and the Existence
✍ T. Isobe 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 841 KB

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