Radial minimizers of a Ginzburg-Landau functional
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 $va...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1999-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/30/abstr.html |