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1. Radial minimizers of a Ginzburg-Landau functional

Author

Yutian Lei, Zhuoqun Wu, and Hongjun Yuan

Subjects
Ginzburg-Landau functional, radial functional, zeros of a minimizer., Mathematics, QA1-939
Abstract

We consider the functional $$ E_varepsilon(u,G) =frac 1pint_G|abla u|^p +frac{1}{4varepsilon^p}int_G(1-|u|^2)^2 $$ with $p>2$ and $d>0$, on the class of functions $W={u(x)=f(r)e^{idheta} in W^{1,p}(B,C); f(1)=1,f(r)geq 0}$. The location of the zeroes of the minimizer and its convergence as $varepsilon$ approaches zero are established.

Published
1999

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