Radial minimizer of a variant of the p-Ginzburg-Landau functional

Abstract

We study the asymptotic behavior of the radial minimizer of a variant of the p-Ginzburg-Landau functional when $p geq n$. The location of the zeros and the uniqueness of the radial minimizer are derived. We also prove the $W^{1,p}$ convergence of the radial minimizer for this functional.

Keywords

• Radial minimizer
• variant of p-Ginzburg-Landau functional