2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119891We reconsider the elliptic estimates for magnetic operators in two and three dimensions used in connection with Ginzburg-Landau theory. Furthermore we discuss the so-called blow-up technique in order to obtain optimal estimates in the limiting cases.20 pagesAnalysis of PDEsMathematical Physics35J60, 35J65, 35Q40text