2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111731Via Gauge theory, we give a new proof of partial regularity for harmonic maps in dimension m>2 into arbitrary targets. This proof avoids the use of adapted frames and permits to consider targets of "minimal" C^2 regularity. The proof we present moreover extends to a large class of elliptic systems of quadratic growth.10 pagesAnalysis of PDEsDifferential Geometry35J60; 58E20Partial regularity for harmonic maps, and related problemstext