Global analysis of a p-Ginzburg–Landau energy with radial structure

This paper is concerned with the asymptotic behavior of a p-Ginzburg–Landau functional with radial structure as parameter goes to zero in the case of p≠2. By analyzing the functional globally, we show that the singularity of p-Ginzburg–Landau energy concentrates on the origin. By the fact the singularity can be balanced by some infinitesimal weight, we prove that an energy with a proper weight is globally bounded.