On the regularity of the 2+1 dimensional equivariant Skyrme model

Geba, Dan-Andrei; da Silva, Daniel

doi:10.1090/S0002-9939-2013-11865-4

On the regularity of the $2+1$ dimensional equivariant Skyrme model
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by Dan-Andrei Geba and Daniel da Silva PDF

Proc. Amer. Math. Soc. 141 (2013), 2105-2115 Request permission

Abstract:

One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study $2+1$ dimensional equivariant Skyrme maps, for which we prove, using the method of multipliers, that the energy does not concentrate. This is one of the important steps towards a global regularity theory.

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