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

Abstract : 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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Submitted on : Thursday, May 3, 2012 - 11:52:57 PM
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  • HAL Id : hal-00694272, version 1


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



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