RADIAL MINIMIZER OF P-GINZBURG-LANDAU FUNCTIONAL WITH A WEIGHT

摘要

The author discusses the asymptotic behavior of the radial minimizer of the p-Ginzburg-Landau functional with a weight in the case p ＞ n ≥ 2. The location of the zeros and the uniqueness of the radial minimizer are derived. Moreover, the W1,p convergence of the radial minimizer of this functional is proved.