caa a22 4500 44583594X CHVBK 20180317145330.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00209-010-0672-y doi (NATIONALLICENCE)springer-10.1007/s00209-010-0672-y Existence of 2D Skyrmions [Elektronische Daten] [Jiayu Li, Xiangrong Zhu] In this paper, we consider the 2D Skyrme model $$E(u)=\frac{1}{2} \int\limits_{R^2}|du|^2dx+\frac{\lambda}{4} \int\limits_{R^2}|du\wedge du|^2dx+\frac{\mu}{16} \int\limits_{R^2}|u-{\bf{n}}|^4dx,$$ where λ andμ > 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. Springer-Verlag, 2010 Li Jiayu Mathematics Group, The Abdus Salam ICTP, 34014, Trieste, Italy aut Zhu Xiangrong Mathematics Group, The Abdus Salam ICTP, 34014, Trieste, Italy aut Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 305-315 0025-5874 268:1-2<305 2011 268 209 https://doi.org/10.1007/s00209-010-0672-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0672-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Jiayu Mathematics Group, The Abdus Salam ICTP, 34014, Trieste, Italy aut NATIONALLICENCE 700 1- Zhu Xiangrong Mathematics Group, The Abdus Salam ICTP, 34014, Trieste, Italy aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 305-315 0025-5874 268:1-2<305 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer