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.
@article{701604,
title = {Existence of skyrmions},
booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1997},
pages = {[147]-151},
mrnumber = {MR1469031},
zbl = {0881.58019},
url = {http://dml.mathdoc.fr/item/701604}
}
Schmitt, Andreas. Existence of skyrmions, dans Proceedings of the 16th Winter School "Geometry and Physics", GDML_Books, (1997), pp. [147]-151. http://gdmltest.u-ga.fr/item/701604/