Abstract
In this paper, we consider the 2D Skyrme model
where λ and μ > 0 are positive coupling constants and n = (0, 0, 1) is the north pole of S 2. We derive a lower bound of 2D Skyrme model. Using this estimate, we prove the existence of 2D Skyrmion for any positive coupling constants λ, μ.
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Li, J., Zhu, X. Existence of 2D Skyrmions. Math. Z. 268, 305–315 (2011). https://doi.org/10.1007/s00209-010-0672-y
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DOI: https://doi.org/10.1007/s00209-010-0672-y