Radial minimizer of p-Ginzburg-Landau functional with nonvanishing Dirichlet boundary condition

The author studies the asymptotic behavior of the radial minimizer of the p-Ginzburg-Landau functional with nonvanishing Dirichlet boundary condition in the case p>2. The location of the zeros of the radial minimizer is discussed. Moreover, the Wloc1,p convergence of the radial minimizer is proved.