Some results on an n-Ginzburg–Landau-type minimizer

摘要

This paper is concerned with the asymptotic analysis of a minimizer of an n-Ginzburg–Landau-type functional. When the dimension n=2, the asymptotic properties were well studied, such as the convergence of the minimum of the energy, the behavior of the minimizer near its zero points, and the quantization effects for the Euler–Lagrange system in R2. The author investigates those properties when the dimension n is not less than 3.