A shadowing lemma for abelian Higgs vortices

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dc.creatorMacri', Marta
dc.creatorNolasco, Margherita
dc.creatorRicciardi, Tonia
dc.date2004-12-01
dc.date.accessioned2026-07-07T05:14:52Z
dc.date.available2026-07-07T05:14:52Z
dc.descriptionWe use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to construct new solutions having an \textit{infinite} number of arbitrarily prescribed vortex points. Furthermore, we obtain the precise asymptotic profile of the solutions in the form of an approximate superposition rule, up to an error which is exponentially small.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0412025
dc.identifierhttp://arxiv.org/abs/math/0412025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73447
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J60 (primary); 58E15, 81T13 (secondary)
dc.titleA shadowing lemma for abelian Higgs vortices
dc.typetext

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