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Remarks on weakly stationary maps into spheres characterized by wedge product

  • Masashi Misawa
  • Nobumitsu NakauchiEmail author
Article
  • 38 Downloads

Abstract

In Chen (Math Z 201:69–74, 1989, Math Z 215:25–35, 1994), Chen first used the wedge product for weak solutions of the harmonic map flow and the p-harmonic one into the spheres. The notion of the wedge product is useful in studying such weak solutions into the spheres. In this paper we consider weak solutions of systems of more general differential equations. Furthermore we clarify an essential structure of general systems of equations necessary for an application of wedge product.

Keywords

Elliptic system Wedge product Weak solution Sphere Harmonic map Symphonic map 

Mathematics Subject Classification

Primary Secondary: 58E99 58E20 53C43 

Notes

Funding

This work was partially supported by the Grant-in-Aid for Scientific Research (C) No.15K04962 (Misawa) and No.15K04846 (Nakauchi) at Japan Society for the Promotion of Science.

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Copyright information

© Springer-Verlag Italia S.r.l., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Graduate School of Science and TechnologyKumamoto UniversityKumamotoJapan
  2. 2.Graduate School of Sciences and Technology for InnovationYamaguchi UniversityYamaguchiJapan

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