Lin, Fanghua; Lin, Taichia; Wei, Juncheng Skyrmions in Gross-Pitaevskii functionals. (English) Zbl 1212.35127 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 3, 751-776 (2009). Summary: In Bose-Einstein condensates (BECs), skyrmions can be characterized by pairs of linking vortex rings coming from two-component wave functions. Here we construct skyrmions by studying critical points of Gross-Pitaevskii functionals with two-component wave functions. Using localized energy method, we rigorously prove the existence, and describe the configurations of skyrmions in such BECs. Cited in 1 Document MSC: 35J60 Nonlinear elliptic equations 35B38 Critical points of functionals in context of PDEs (e.g., energy functionals) 35B25 Singular perturbations in context of PDEs Keywords:Bose-Einstein condensate; linked vortex rings; localized energy method PDFBibTeX XMLCite \textit{F. Lin} et al., Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 3, 751--776 (2009; Zbl 1212.35127) Full Text: DOI