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Asymptotic estimation
for a p-Ginzburg–Landau type
minimizer in higher dimensions
Yutian Lei |
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Vol. 226 (2006), No. 1, 103–135
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Abstract |
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This paper is concerned with the asymptotic behavior of the minimizers u𝜀 of a p-Ginzburg–Landau type functional when 𝜀 → 0. First the author discusses the location of zeros of u𝜀 qualitatively. Then the W1,p estimation of u𝜀 is set up. Finally, the author proves the C1,α convergence of u𝜀. |
Keywords
regularized minimizer, asymptotic behavior, p-Ginzburg–Landau functional, location of
zeros
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Mathematical Subject Classification 2000
Primary: 35J25, 35J70, 49K20
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Milestones
Received: 9 October 2004
Accepted: 15 December 2005
Published: 1 July 2006
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Authors |
| Yutian Lei | |
| Department of Mathematics Nanjing Normal University, Nanjing, Jiangsu, 210097, P.R.China |
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