C1-alpha Convergence of Minimizers of a Ginzburg-Landau Functional
| dc.contributor.author | Lei, Yutian | |
| dc.contributor.author | Wu, Zhuoqun | |
| dc.date.accessioned | 2019-12-20T21:04:16Z | |
| dc.date.available | 2019-12-20T21:04:16Z | |
| dc.date.issued | 2000-02-21 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9127 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Ginzburg-Landau functional | |
| dc.subject | Regularizable minimizer | |
| dc.title | C1-alpha Convergence of Minimizers of a Ginzburg-Landau Functional | |
| dc.title.alternative | C1,α Convergence of Minimizers of a Ginzburg-Landau Functional | |
| dc.type | Article |