C1-alpha convergence of minimizers of a Ginzburg-Landau functional
In this article we study the minimizers of the functional $$ E_varepsilon(u,G)={1over p}int_G|abla u|^p+frac{1 over 4varepsilon^p} int_G(1-|u|^2)^2, $$ on the class $W_g={v in W^{1,p}(G,{mathbb R}^2);v|_{partial G}=g}$, where $g:partial G o S^1$ is a smooth map with Brouwer degree zero, and $p$ is g...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2000-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2000/14/abstr.html |