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Skyrmions and symmetry

Article type: Research Article

Authors: Esteban, M.J. | Lions, P.L.

Affiliations: Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 75252 Paris Cedex 05, France | Cérémade, Université Paris-Dauphine, 75775 Paris Cedex 16, France

Abstract: It was already known that when the topological charge k is larger than 1, the ground state energy for Skyrme's problem can never be achieved by a hedge-hog type function. In this paper we prove that in fact the ratio of the ground state energy to the lower bound of the energy for the hedge-hog functions converges to 0 as k−1.

DOI: 10.3233/ASY-1988-1301

Journal: Asymptotic Analysis, vol. 1, no. 3, pp. 187-192, 1988

Received March 1988
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Published: 1988
Price: EUR 27.50
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