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Axially Symmetric Harmonic Maps

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Book cover Nematics

Part of the book series: NATO ASI Series ((ASIC,volume 332))

Abstract

Here we discuss recent results of [HLP] on the class of axially symmetric harmonic maps from B3 to S2. We find some new classes of non-minimizing harmonic maps exhibiting unusual singular behavior. Optimal partial regularity estimates are obtained for mappings which minimize, among axially symmetric maps, various relaxed energies [BBC].

Research partially supported by the National Science Foundation

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© 1991 Springer Science+Business Media Dordrecht

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Hardt, R.M. (1991). Axially Symmetric Harmonic Maps. In: Coron, JM., Ghidaglia, JM., Hélein, F. (eds) Nematics. NATO ASI Series, vol 332. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3428-6_13

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  • DOI: https://doi.org/10.1007/978-94-011-3428-6_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5516-1

  • Online ISBN: 978-94-011-3428-6

  • eBook Packages: Springer Book Archive

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