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Solutions of Dirac equations on compact spin manifolds via saddle point reduction

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Abstract

In this note, we apply the saddle point reduction to a class of nonlinear Dirac equation with a potential on a compact spin manifold. Two results are obtained, including a multiple theorem.

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Acknowledgments

The authors would like to express their gratitude to the referee for his/her pointing out some errors in the original manuscript and helpful improvement suggestions.

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Authors and Affiliations

  1. Laboratory of Mathematics and Complex Systems, Ministry of Education School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China

    Xu Yang, Rongrong Jin & Guangcun Lu

Authors
  1. Xu Yang
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  2. Rongrong Jin
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  3. Guangcun Lu
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Corresponding author

Correspondence to Guangcun Lu.

Additional information

Dedicated to Professor Paul H. Rabinowitz on the occasion of his 80th birthday.

Partially supported by the NNSF 10971014 and 11271044 of China.

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Yang, X., Jin, R. & Lu, G. Solutions of Dirac equations on compact spin manifolds via saddle point reduction. J. Fixed Point Theory Appl. 19, 215–229 (2017). https://doi.org/10.1007/s11784-016-0350-8

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  • DOI: https://doi.org/10.1007/s11784-016-0350-8

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