Asymptotic Properties of p-Ginzburg-Landau Type Minimizers Associated with p-Harmonic Maps
Yutian Lei · Chinese Annals of Mathematics · 2006
The author considers the asymptotic behavior of minimizers of a p-Ginzburg-Landau type functional in the case of p ∈ (1, n). It is presented that the zeros of minimizers locate near the singularities of a p-harmonic map. At the same time, the Cloc1,γ convergence of the regularized minimizer to the p-harmonic map is proved.