Lei, YutianWu, Zhuoqun2019-12-202019-12-202000-02-21Lei, Y., & Wu, Z. (2000). C1-alpha convergence of minimizers of a Ginzburg-Landau functional. <i>Electronic Journal of Differential Equations, 2000</i>(14), pp. 1-20.1072-6691https://hdl.handle.net/10877/9127In this article we study the minimizers of the functional Eε(u, G) = 1/p ∫G | ∇u|p + 1/4εp ∫G (1 - |u|2)2, on the class Wg = {v ∈ W1,p (G, ℝ2); v|∂G = g}, where g : ∂G → S1 is a smooth map with Brouwer degree zero, and p is greater than 2. In particular, we show that the minimizer converges to the p-harmonic map in C1αloc (G, ℝ2) as ε approaches zero.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalGinzburg-Landau functionalRegularizable minimizerArticle