Summary
We consider Skyrme's problem, a direct variational approach to the study of the structure of statie configurations of mesons in a field of weak energy. In this paper we restrict ourselves to the consideration of two particular symmetry-conditions and prove the existence of minima for the corresponding energy among all the functions which satisfy those symmetry-conditions and have a fixed degree.
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Esteban, M.J. Existence of symmetric solutions for the Skyrme's problem. Annali di Matematica pura ed applicata 147, 187–195 (1987). https://doi.org/10.1007/BF01762417
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DOI: https://doi.org/10.1007/BF01762417