Adapting [36], we define generalized p-harmonic maps into Riemannian homogeneous targets, a notion of solutions not belonging to the energy space. Restricting our attention to the subcritical range p greater than the domain dimension n, we show a uniform \(C^{1,\alpha }\) -regularity result for a sequence of such maps in the limit \(p \searrow n\) , assuming a uniform n-energy bound on its elements. The method of the proof follows the exact same lines as in [36] but we need to check uniformity of estimates not previously considered there.
