Geodesic
Concentration of Semi-Classical States for Nonlinear Dirac Equations of Space-Dimension n
Minimax theory and its applications, Tome 6 (2021) no. 1
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In the present paper, we study the semi-classical approximation of a massive Dirac equation in space-dimension n ≥ 2 with some general nonlinear self-coupling. We prove that there exists a family of ground states of the semi-classical problem, for all ~ small, and show that the family concentrates around some certain sets determined by the competing potential functions as ~ → 0.
Mots-clés : Dirac equations, semi-classical states, concentration 
@article{MTA_2021_6_1_a1,
     author = {Yanheng Ding,Qi Guo,Tian Xu},
     title = {Concentration of {Semi-Classical} {States} for {Nonlinear} {Dirac} {Equations} of {Space-Dimension} n},
     journal = {Minimax theory and its applications},
     year = {2021},
     volume = {6},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_1_a1/}
}
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Yanheng Ding,Qi Guo,Tian Xu. Concentration of Semi-Classical States for Nonlinear Dirac Equations of Space-Dimension n. Minimax theory and its applications, Tome 6 (2021) no. 1. http://geodesic.mathdoc.fr/item/MTA_2021_6_1_a1/