### Abstract

We study the semiclassical limit of the least energy solutions to the nonlinear Dirac equation. We prove that the equation has least energy solutions for all Ä§ > 0 small, and, in addition, that the solutions converge in a certain sense to the least energy solution of the associated limit problem as Ä§ → 0.

Original language | English |
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Pages (from-to) | 765-790 |

Number of pages | 26 |

Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |

Volume | 143 A |

Issue number | 4 |

DOIs | |

Publication status | Published - 2013 Jan 1 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Ding, Y. H., Lee, C., & Ruf, B. (2013). On semiclassical states of a nonlinear Dirac equation.

*Proceedings of the Royal Society of Edinburgh Section A: Mathematics*,*143 A*(4), 765-790. https://doi.org/10.1017/S0308210511001752