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Article Dans Une Revue Proceedings of the Royal Society of Edinburgh: Section A, Mathematics Année : 1998

A Ginzburg-Landau problem with weight having minima on the boundary

Résumé

In this paper, we study the following Ginzburg-Landau functional: E(epsilon)(u) = 1/2 integral(G) p\del u\(2) + 1/4 epsilon(2) integral(G) p(1-\u\(2))(2), where u is an element of H(g)(1) (G, C), and p is a smooth bounded and non-negative map, having minima on the boundary of (G) over bar. We give the location of the singularities in the case where the degree around each singularity is equal to 1.
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Dates et versions

hal-00694272 , version 1 (03-05-2012)

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  • HAL Id : hal-00694272 , version 1

Citer

Rejeb Hadiji. A Ginzburg-Landau problem with weight having minima on the boundary. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 1998, 128 (?), pp.1181--1215. ⟨hal-00694272⟩
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