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/