C1-alpha Convergence of Minimizers of a Ginzburg-Landau Functional
Date
2000-02-21
Authors
Lei, Yutian
Wu, Zhuoqun
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Ginzburg-Landau functional, Regularizable minimizer
Citation
Lei, 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.
Rights
Attribution 4.0 International