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Existence of skyrmions

Schmitt, Andreas — 1997

Proceedings of the 16th Winter School "Geometry and Physics"

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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