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On semiclassical states of a nonlinear Dirac equation

  • Y. H. Ding (a1), C. Lee (a2) and B. Ruf (a3)

Abstract

We study the semiclassical limit of the least energy solutions to the nonlinear Dirac equation for x ∈ ℝ3. We prove that the equation has least energy solutions for all ħ > 0 small, and, in addition, that the solutions converge in a certain sense to the least energy solution of the associated limit problem as ħ → 0.

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On semiclassical states of a nonlinear Dirac equation

  • Y. H. Ding (a1), C. Lee (a2) and B. Ruf (a3)

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