The spinor Ginzburg-Landau model in dimension three (Q1002304)

This paper deals with the qualitative analysis of minimizers of the spin-coupled Ginzburg-Landau energy functional arising in the study of ferromagnetic and anti-ferromagnetic effects in high-temperature superconductors. The main result in the present paper establishes the existence of limit singularities, the concentrating measure property of the limit, and the uniform convergence on compact subsets outside the singularities. The proof combines variational arguments with elliptic estimates and a related monotonicity formula.