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

The author studies the asymptotic behavior of the radial minimizer of the pp-Ginzburg–Landau functional with non-vanishing Dirichlet boundary condition in the case of p∈(n−1,n)p∈(n−1,n), where nn is the dimension. The location of the zeros of the radial minimizer is discussed. Moreover the C1,αC1,α convergence of the radial minimizer is proved.