Radial minimizers of p-Ginzburg-Landau type with p∈(n−1,n)

The author studies the asymptotic behavior of the radial minimizer of the p-Ginzburg-Landau functional with non-vanishing Dirichlet boundary condition in the case of p∈(n−1,n), where n is the dimension. The location of the zeros of the radial minimizer is discussed. Moreover the C1,α convergence of the radial minimizer is proved.