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Zbl 0881.58019
Schmitt, Andreas
Existence of skyrmions. (English)
[A] Slovák, Jan (ed.), Proceedings of the 16th Winter School on geometry and physics, Srní, Czech Republic, January 13--20, 1996. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 46, 147-151 (1997).

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.
MSC 2000:
*58E50 Appl. of variational methods in infinite-dimensional spaces
81V05 Strong interaction

Keywords: Skyrme model; field equation; hedgehog ansatz; existence

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