TY - JOUR

T1 - On semiclassical states of a nonlinear Dirac equation

AU - Ding, Y. H.

AU - Lee, C.

AU - Ruf, B.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

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U2 - 10.1017/S0308210511001752

DO - 10.1017/S0308210511001752

M3 - Article

AN - SCOPUS:84880538482

VL - 143 A

SP - 765

EP - 790

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 4

ER -