We study minimizers of the Ginzburg-Landau functional in an annular type domain with holes. We assume degrees 1 and -1 on the boundary of the annulus, degree 0 on the boundaries of the holes. Two types of qualitatively different behavior of minimizers occur, depending on the value of the H1-capacity of the domain. We also describe the asymptotic behavior of minimizers as the coherency length tends to ∞.
|Translated title of the contribution||Ginzburg-Landau minimizers with prescribed degrees: Dependence on domain|
|Number of pages||6|
|Journal||Comptes Rendus Mathematique|
|State||Published - Sep 15 2003|
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