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 |
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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 |
| _version_ | 1811299048657780736 |
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| author | Yutian Lei Zhuoqun Wu Hongjun Yuan |
| author_facet | Yutian Lei Zhuoqun Wu Hongjun Yuan |
| author_sort | Yutian Lei |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T06:29:25Z |
| format | Article |
| id | doaj.art-aef28b42d2334db2ab7df6ba4293b79e |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T06:29:25Z |
| publishDate | 1999-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-aef28b42d2334db2ab7df6ba4293b79e2022-12-22T02:58:14ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911999-09-01199930121Radial minimizers of a Ginzburg-Landau functionalYutian LeiZhuoqun WuHongjun YuanWe 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.http://ejde.math.txstate.edu/Volumes/1999/30/abstr.htmlGinzburg-Landau functionalradial functionalzeros of a minimizer. |
| spellingShingle | Yutian Lei Zhuoqun Wu Hongjun Yuan Radial minimizers of a Ginzburg-Landau functional Electronic Journal of Differential Equations Ginzburg-Landau functional radial functional zeros of a minimizer. |
| title | Radial minimizers of a Ginzburg-Landau functional |
| title_full | Radial minimizers of a Ginzburg-Landau functional |
| title_fullStr | Radial minimizers of a Ginzburg-Landau functional |
| title_full_unstemmed | Radial minimizers of a Ginzburg-Landau functional |
| title_short | Radial minimizers of a Ginzburg-Landau functional |
| title_sort | radial minimizers of a ginzburg landau functional |
| topic | Ginzburg-Landau functional radial functional zeros of a minimizer. |
| url | http://ejde.math.txstate.edu/Volumes/1999/30/abstr.html |
| work_keys_str_mv | AT yutianlei radialminimizersofaginzburglandaufunctional AT zhuoqunwu radialminimizersofaginzburglandaufunctional AT hongjunyuan radialminimizersofaginzburglandaufunctional |