Regularity theory for minimizing equivariant \((p \)-)harmonic mappings (Q1387910)

The aim of this paper is to study symmetric harmonic and \(p\)-harmonic mappings in a relatively general framework, where the reduction of the harmonicity equation does not have to result in an ODE. Since in this context global solvability of the equations cannot be expected, the paper deals with partial regularity theory. It includes an adaption of the ``principle of symmetric criticality'', an example showing that \(G\)-minimizers differ from minimizers, a regularity theorem, an equivariant version of Morrey's Dirichlet growth criterion and also a sufficient condition which allows to improve the estimate of the Hausdorff dimension \(H\)-\(\dim(\text{sing}(f))\).