Radial minimizer of a variant of the p-Ginzburg-Landau functional
We study the asymptotic behavior of the radial minimizer of a variant of the p-Ginzburg-Landau functional when $p geq n$. The location of the zeros and the uniqueness of the radial minimizer are derived. We also prove the $W^{1,p}$ convergence of the radial minimizer for this functional.
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| Format: | Article |
| Language: | English |
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Texas State University
2003-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/35/abstr.html |
| Summary: | We study the asymptotic behavior of the radial minimizer of a variant of the p-Ginzburg-Landau functional when $p geq n$. The location of the zeros and the uniqueness of the radial minimizer are derived. We also prove the $W^{1,p}$ convergence of the radial minimizer for this functional. |
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| ISSN: | 1072-6691 |