On a singular perturbation problem involving a "circular-well" potential

• Autores: Nelly André, Itai Shafrir
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 10, 2007, págs. 4729-4756
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04344-9
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• Resumen

  • We study the asymptotic behavior, as a small parameter goes to 0, of the minimizers for a variational problem which involves a "circular-well" potential, i.e., a potential vanishing on a closed smooth curve in R2. We thus generalize previous results obtained for the special case of the Ginzburg-Landau potential.