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Existence of two‐dimensional Skyrmions via the concentration‐compactness method
Author(s) -
Lin Fanghua,
Yang Yisong
Publication year - 2004
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20038
Subject(s) - compact space , mathematics , skyrmion , unit (ring theory) , energy (signal processing) , charge (physics) , topology (electrical circuits) , mathematical analysis , pure mathematics , combinatorics , physics , condensed matter physics , quantum mechanics , statistics , mathematics education
Abstract In this paper, we prove the existence of a unit‐charge energy minimizer in the two‐dimensional Skyrme model by the method of concentration‐compactness. © 2004 Wiley Periodicals, Inc.