2011/10/27 by Israel Michael Sigal, Sigal, I. M., Tim Tzaneteas +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics #Nonlinear Photonic Systems
paper · pdf · doi:10.48550/arxiv.1110.5987
We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations in two dimensions, for magnetic fields larger than but close to the first critical magnetic field.