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Article

Schmitt, Andreas
Existence of skyrmions. (English). In: Slovák, Jan (ed.): Proceedings of the 16th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1997. pp. [147]-151
MSC: 53C80, 58E50, 81T10, 81V05 | MR 1469031 | Zbl 0881.58019
Summary:
Summary: We give an introduction to the Skyrme model from a mathematical point of view. Hereby, we show that it is difficult to solve the field equation even by means of the classical ansatz, the so-called hedgehog ansatz. Our main result is an extended existence proof for solutions of the field equation in the hedgehog ansatz.
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